BIOLSYSZAL - Karina Dal

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KARINA DAL!!!!!!! - ZADANIA BIOLOGIA SYSTEMOW

Portrety fazowe:

ZADANIE 1

a. Równania różniczkowe i izokliny zerowe

Równania różniczkowe:

dS1/dt = v1 - v3 - v5 = k1/(1 + (S2/K)^n) - k3*S1 - k5*S1 = k1/(1 + (S2/K)^n) - (k3 + k5)*S1

dS2/dt = v2 + v5 - v4 = k2 + k5*S1 - k4*S2 

Izokliny zerowe:

Dla dS1/dt = 0: S2(S1) = K * ((k1/((k3 + k5)*S1) - 1)^(1/n)

Dla dS2/dt = 0: S2(S1) = (k2 + k5*S1)/k4

b)

library(deSolve)

Warning: package 'deSolve' was built under R version 4.3.3

library(ggplot2)

parametry <- c(
  k1 = 20, 
  k2 = 5,
  K  = 1,
  k3 = 5, 
  k4 = 5, 
  k5 = 2,
  n  = 4
)

funkcja1 <- function(t, state, parametry) {
  with(as.list(c(state, parametry)), {
    v1 <- k1 / (1 + (s2 / K)^n)
    v2 <- k2
    v3 <- k3 * s1
    v4 <- k4 * s2
    v5 <- k5 * s1

    ds1 <- v1 - v3 - v5
    ds2 <- v2 + v5 - v4
    list(c(ds1, ds2))
  })
}

stan_pocz <- c(s1 = 0, s2 = 0)
czas_pocz  <- seq(0, 4, by = 0.01)
out   <- ode(y = stan_pocz,
             times = czas_pocz,
             func  = funkcja1,
             parms = parametry,
             method = "lsoda")

out_df <- as.data.frame(out)

ggplot(out_df, aes(x = time)) +
  geom_line(aes(y = s1, colour = "s1(t)")) +
  geom_line(aes(y = s2, colour = "s2(t)")) +
  scale_colour_manual(values = c("s1(t)" = "blue", "s2(t)" = "red")) +
  labs(x = "czas [s]",
       y = "stężenie [M]",
       colour = "",
       title = "Zmiana stężeń s1 i s2 w zaleznosci od czasu [t]") +
  theme_minimal()

c)

with(as.list(parametry), {
  zakres_s2 <- seq(0, 3, length.out = 200)
  zakres_s1 <- seq(0, 4, length.out = 200)

  #obliczanie izokiny
  izo1 <- k1 / ((k3 + k5) * (1 + (zakres_s2 / K)^n))
  dobre <- !is.nan(izo1)
  zakres_s2_czysty <- zakres_s2[dobre]
  izo1_czysta <- izo1[dobre]

  #druga izokina
  izo2 <- (k2 + k5 * zakres_s1) / k4

  #nowe parametry graficzne
  stary_par <- par(no.readonly = TRUE)
  par(mar = c(5, 4, 4, 8), xpd = FALSE)

  # trajektoria
  plot(out[, "s1"], out[, "s2"],
       type = "l", lwd = 2, col = "green",
       xlab = expression(s[1]~"[M]"),
       ylab = expression(s[2]~"[M]"),
       main = "Portret fazowy")


  lines(izo1_czysta, zakres_s2_czysty, col = "red", lwd = 2, lty = 2)  # ds1/dt = 0
  lines(zakres_s1, izo2, col = "blue", lwd = 2, lty = 2)                # ds2/dt = 0

  # przywróć stare parametry graficzne
  par(stary_par)
})

d)

# nowe warunki początkowe
starty <- list(
  X = c(s1 = 10, s2 = 0),
  Y = c(s1 = 5, s2 = 5),
  Z = c(s1 = 0, s2 = 10)
)

# symulacje dla każdego zestawu startowego
trajektorie <- lapply(starty, function(punkt_startowy) {
  dane <- ode(y = punkt_startowy,
              times = czas_pocz,   # also check this variable name!
              func  = funkcja1,    # corrected function name here
              parms = parametry,   # corrected params name here
              method = "lsoda")
  as.data.frame(dane)
})


s1_X <- trajektorie$X$s1; s2_X <- trajektorie$X$s2
s1_Y <- trajektorie$Y$s1; s2_Y <- trajektorie$Y$s2
s1_Z <- trajektorie$Z$s1; s2_Z <- trajektorie$Z$s2

for(nazwa in names(trajektorie)) {
  trajektorie[[nazwa]]$wariant <- nazwa
}

symulacja_df <- do.call(rbind, trajektorie)

# wykres czasowy s1 i s2
ggplot(symulacja_df, aes(x = time, colour = wariant)) +
  geom_line(aes(y = s1, linetype = "s1")) +
  geom_line(aes(y = s2, linetype = "s2")) +
  scale_colour_manual(values = c(X = "blue", Y = "red", Z = "green")) +
  scale_linetype_manual(values = c("s1" = 1, "s2" = 2), name = NULL) +
  labs(title = "Dynamika stężeń S1 i S2 dla różnych startów",
       x = "Czas [s]", y = "Stężenie [M]", colour = "legenda") +
  theme_minimal(base_size = 13)

# portret fazowy (s1 vs s2)
ggplot(symulacja_df, aes(x = s1, y = s2, colour = wariant)) +
  geom_path(size = 1.2) +
  scale_colour_manual(values = c(X = "blue", Y = "red", Z = "green")) +
  labs(title = "Portret fazowy trajektorii",
       x = expression(S[1]~"[M]"), y = expression(S[2]~"[M]"),
       colour = "legenda") +
  theme_minimal(base_size = 13)

Warning: Using `size` aesthetic for lines was deprecated in ggplot2 3.4.0.
ℹ Please use `linewidth` instead.

e)

library(phaseR)

Warning: package 'phaseR' was built under R version 4.3.3

-------------------------------------------------------------------------------
phaseR: Phase plane analysis of one- and two-dimensional autonomous ODE systems
-------------------------------------------------------------------------------

v.2.1: For an overview of the package's functionality enter: ?phaseR

For news on the latest updates enter: news(package = "phaseR")

# nowa funkcja definiująca układ równań różniczkowych
uklad_dynamiki <- function(t, zmienne, parametry) {
  s1 <- zmienne[1]
  s2 <- zmienne[2]

  k1 <- parametry[1]
  k2 <- parametry[2]
  k3 <- parametry[3]
  k4 <- parametry[4]
  k5 <- parametry[5]
  K  <- parametry[6]
  n  <- parametry[7]

  zmiana_s1 <- k1 / (1 + (s2 / K)^n) - (k3 + k5) * s1
  zmiana_s2 <- k5 * s1 + k2 - k4 * s2

  list(c(zmiana_s1, zmiana_s2))
}

# punkty startowe trajektorii
punkty_startowe <- list(
  c(s1 = 0, s2 = 0),
  c(s1 = 1, s2 = 0.5),
  c(s1 = 0.5, s2 = 1)
)

# wektor parametrów
paramy <- c(k1 = 20, k2 = 5, k3 = 5, k4 = 5, k5 = 2, K = 1, n = 4)

# funkcja rysująca portret fazowy
rysuj_portret <- function(paramy, tytul_wykresu) {
  
  plot(NA,
       xlim = c(0, 2),
       ylim = c(0, 2),
       xlab = expression(s[1]),
       ylab = expression(s[2]),
       main = tytul_wykresu)

  # pole wektorowe
  flowField(uklad_dynamiki,
            xlim = c(0, 2),
            ylim = c(0, 2),
            parameters = paramy,
            system = "two.dim",
            xlab = "",
            ylab = "",
            add = TRUE,
            points = 15,
            arrow.head = 0.05,
            col = "lightgray")

  # izoklina 1
  s2_lin <- seq(0, 2, length.out = 200)
  iso_s1 <- with(as.list(paramy), k1 / ((k3 + k5) * (1 + (s2_lin / K)^n)))
  lines(iso_s1, s2_lin, col = "blue", lty = 2, lwd = 2)

  # izoklina 2
  s1_lin <- seq(0, 2, length.out = 200)
  iso_s2 <- with(as.list(paramy), (k5 * s1_lin + k2) / k4)
  lines(s1_lin, iso_s2, col = "red", lty = 2, lwd = 2)

  kolory <- c("green", "violet", "orange")

  # Trajektorie i punkty startowe
  for (j in seq_along(punkty_startowe)) {
    rozw <- ode(
      y = punkty_startowe[[j]],
      times = seq(0, 3, by = 0.01),
      func = uklad_dynamiki,
      parms = paramy
    )

    lines(rozw[, "s1"], rozw[, "s2"], col = kolory[j], lwd = 2)
    points(punkty_startowe[[j]][1], punkty_startowe[[j]][2],
           pch = 19, col = kolory[j])
  }

  legend("topleft",
         legend = c("Pole wektorowe", "Izoklina ds1/dt = 0", "Izoklina ds2/dt = 0",
                    "(0,0)", "(1,0.5)", "(0.5,1)"),
         col = c("lightgray", "blue", "red", kolory),
         lty = c(1, 2, 2, rep(1, 3)),
         lwd = c(1, 2, 2, rep(2, 3)),
         pch = c(NA, NA, NA, 19, 19, 19),
         bg = "white",
         bty = "o")
}

# Wywołanie rysowania
rysuj_portret(paramy, "Portret fazowy układu")

Zadanie 2 z faz:.

a) Oznaczmy stężenia dwóch białek przez S1(t) i S2(t)). Produkcja każdego z nich jest hamowana przez drugie białko (w sensie nieliniowym typu Hill’a), a obie degradowane są wprost proporcjonalnie do swojego stężenia. Przyjmujemy ogólne postaci szybkości:

v1​(S2​) ​=k1*(​K1^n2​​/(​K1^n2+S2^n2))​​​, ​– produkcja S1​ pod hamowaniem przez S2​,

v2​(S1​) =k2*​(K2^n1​​/(K2^n1+S1^n1​​)) – produkcja S2​ pod hamowaniem przez S1​,​​​

v3​(S1​) =k3​*S1 – degradacja S1​​

v4​(S2​) =k4​*S2 – degradacja S2​.​​

Stad rownania:

​dt/dS1​​=v1​(S2​)−v3​(S1​)=k1*(​K1^n2​​/(​K1^n2+S2^n2))​​​​​​−k3​*S1​,

dt/dS2​​=v2​(S1​)−v4​(S2​)=k2​*​(K2^n1​​/(K2^n1+S1^n1​​)) −k4*​S2​.​

Stezenia stacjonarne i izokliny zerowe:

1. Stany stacjonarne (S1*, S2*) znajdujemy z:

k1*K1^n2/(K1^n2+(S2)^n2) = k3*S1*

k2*K2^n1/(K2^n1+(S1)^n1) = k4*S2*

2a) Izoklina dS1/dt = 0 (krzywa w układzie (S1,S2))

S1=(k1/k3)*(K1^n2/(K1^n2+S2^n2))

2b) Izoklina dS2/dt = 0

S2=(k2/k4)*(K2^n1/(K2^n1+S1^n1))

Wspólne przecięcie tych dwóch krzywych to stany stacjonarne.

b) Jeśli założymy symetryczne parametry:

  k1=k2,  K1=K2,  k3=k4,

ale różne wykładniki Hill’a n1≠n2, to układ staje się asymetryczny.

Gdy np. n1>n2​, tzn. produkcja S2​ jest bardziej czuła na S1​ niż odwrotnie, to przy zerowych warunkach początkowych nawet niewielkie zaburzenie w kierunku wzrostu S1 silnie zahamuje S2 co prowadzi do przewAGi S1​.

Gdy n1=n2 układ jest symetryczny i obie izokliny mają ten sam kształt. W ramach drobnych zaburzeń oba białka mogą oscylować wokół wspólnego stanu bądź dążyć do symetrycznego, pojedynczego punktu stacjonarnego.

c) i d)

library(phaseR)
library(deSolve)

#ustalenie funckji
mutual_inhibition <- function(t, state, parameters) {
  S1 <- state[1]; S2 <- state[2]
  with(as.list(parameters), {
    v1  <- k1 * K1^n2 / (K1^n2 + S2^n2)
    v2  <- k2 * K2^n1 / (K2^n1 + S1^n1)
    dS1 <- v1 - k3 * S1
    dS2 <- v2 - k4 * S2
    list(c(dS1, dS2))
  })
}

#lista parametrow
param_sets <- list(
  asym = list(k1=20, k2=20, K1=1, K2=1, n1=4, n2=1, k3=5, k4=5), #asymetryczne
  sym  = list(k1=20, k2=20, K1=1, K2=1, n1=4, n2=4, k3=5, k4=5) #symetryczne
)

init.conds <- list(c(0,0), c(4,1), c(1,4), c(2,2))

for(name in names(param_sets)) {
  pars <- param_sets[[name]]
  
  plot(NA, xlim = c(0,5), ylim = c(0,5),
       xlab = "S1", ylab = "S2",
       main = paste("Mutual inhibition -", name, "case"))
  
  flowField(mutual_inhibition,
            xlim = c(0,5), ylim = c(0,5),
            parameters = pars,
            points = 20,
            add = TRUE)
  
  nullclines(mutual_inhibition,
             xlim = c(0,5), ylim = c(0,5),
             parameters = pars,
             col = c("blue", "red"),
             add = TRUE)
  
  legend("topright",
         legend = c("dS1/dt = 0", "dS2/dt = 0"),
         col = c("blue", "red"),
         lty = 1)
  
  for(ic in init.conds) {
    trajectory(mutual_inhibition,
               y0 = ic,
               tlim = c(0,10),
               parameters = pars,
               add = TRUE,
               col = "red")
  }
  
  for(ic in init.conds) {
    t <- seq(0, 10, by = 0.01)
    out <- ode(y = c(S1 = ic[1], S2 = ic[2]),
               t = t,
               func = mutual_inhibition,
               parms = pars)
    
    matplot(out[,"time"], out[,c("S1","S2")],
            type = "l", lty = 1, col = 1:2,
            xlab = "t", ylab = "stężenie",
            main = paste("Trajektoria czasowa (", name, 
                         " case), start = [", ic[1], ",", ic[2], "]"))
    
    legend("right", legend = c("S1", "S2"), col = 1:2, lty = 1)
  }
}

---

Zad 3 z faz:

I. Uproszczenie równań:

1. Charakterystyczna skala czasowa to T = V/Q. Wprowadzamy czas bezwymiarowy l = t/T, więc t = lT.

2. Stężenie wyrażamy jako c = eK, gdzie e to stężenie bezwymiarowe.

3. Bezwymiarowe współczynniki: y = r_max * T oraz gestosc bakterii rho = b * K/v, gdzie b to bezwymiarowa gęstość bakterii.

Po podstawieniach otrzymujemy równania:

db/dl = (y * e/(1 + e) - 1) * b

de/dl = e_in - e - y * (e/(1 + e)) * b

2. Znalezienie izoklin zerowych:

1. Izoklina dla

   db/dl = 0: (y * e/(1 + e) - 1) * b = 0

   b = 0

   y * e/(1 + e) = 1 => e = 1/(y - 1)

2. Izoklina dla de/dl = 0: e_in - e - y * (e/(1 + e)) * b = 0 => b = (e_in - e) * (1 + e)/(y * e)

Punkty stałe znajdują się na przecięciu izoklin: 1. Punkt (e, b) = (1/(y - 1), (e_in - 1/(y - 1)) * (y/(y - 1))/y) 2. Punkt (e, b) = (e_in, 0)

Warunki “fizyczne”: 1. Dla pierwszego punktu: - y > 1 (aby e = 1/(y - 1) > 0) - e_in >= 1/(y - 1) (aby b >= 0)

2. Dla drugiego punktu:

• e_in >= 0 (zawsze spełnione, bo stężenie nie może być ujemne)
• b = 0 jest zawsze dopuszczalne

Podsumowanie: Aby istniał niezerowy punkt stacjonarny (b > 0), muszą być spełnione warunki: y > 1 oraz e_in >= 1/(y - 1). W przeciwnym przypadku jedynym punktem stacjonarnym jest (e_in, 0).

Portret fazowy:

library(deSolve)
library(ggplot2)

# Parametry bezwymiarowe
wspolczynnik_wzrostu <- 2      
st_wejscia <- 3     

# Funkcja równań różniczkowych
model_chemostatu <- function(t, stan, parametry) {
  with(as.list(c(stan, parametry)), {
    d_gestosc <- gestosc * (wspolczynnik_wzrostu * st_chem/(1 + st_chem) - 1)
    d_st_chem <- st_wejscia - st_chem - wspolczynnik_wzrostu * st_chem/(1 + st_chem) * gestosc
    list(c(d_gestosc, d_st_chem))
  })
}

# Warunki początkowe
stan_poczatkowy <- c(gestosc = 0.1, st_chem = 0.5)
czasy <- seq(0, 20, by = 0.1)

# Symulacja
wyniki <- ode(y = stan_poczatkowy, times = czasy, func = model_chemostatu, parms = NULL)
wyniki <- as.data.frame(wyniki)

# Wykres zmian w czasie
wykres <- ggplot(wyniki, aes(x = time)) +
  geom_line(aes(y = gestosc, colour = 'gestosc')) +
  geom_line(aes(y = st_chem, colour = 'st_chem')) +
  labs(y = 'Zmienne bezwymiarowe', x = 'tau') +
  scale_colour_manual('', values = c('gestosc' = 'blue', 'st_chem' = 'red'))
print(wykres)

# Funkcja do portretu fazowego
rysuj_portret_fazowy <- function(st_wejscia, wspolczynnik_wzrostu, zakres_x = c(0, 3), zakres_y = c(0, 3)) {
  etykieta <- if (wspolczynnik_wzrostu > 1.5) "a" else "b"
  plot(NA, NA, xlim = zakres_x, ylim = zakres_y,
       xlab = expression(bar(c)), ylab = expression(bar(rho)),
       main = paste0(etykieta, ": st_wejscia=", st_wejscia, ", γ=", wspolczynnik_wzrostu))

  # Izokliny
  curve((st_wejscia - x)*(1 + x)/(wspolczynnik_wzrostu * x),
        from = 1e-3, to = zakres_x[2],
        col = "red", lwd = 2, add = TRUE)
  st_rownowagi <- 1/(wspolczynnik_wzrostu - 1)
  if (st_rownowagi > zakres_x[1] && st_rownowagi < zakres_x[2]) {
    abline(v = st_rownowagi, col = "blue", lwd = 2)
  }
  abline(h = 0, col = "blue", lwd = 2)

  # Pole wektorowe
  punkty_x <- seq(zakres_x[1] + .1, zakres_x[2] - .1, length = 16)
  punkty_y <- seq(zakres_y[1] + .1, zakres_y[2] - .1, length = 16)
  for (x in punkty_x) for (y in punkty_y) {
    szybkosc <- wspolczynnik_wzrostu * x/(1 + x) * y
    wektor <- c(dc = st_wejscia - x - szybkosc,
                drho = szybkosc - y)
    dlugosc <- sqrt(sum(wektor^2))
    arrows(x, y,
           x + 0.08 * wektor[1]/dlugosc,
           y + 0.08 * wektor[2]/dlugosc,
           length = 0.04, col = "green")
  }

  # Trajektorie
  warunki_poczatkowe <- list(
    c(gestosc = 1.95, st_chem = 2.35),
    c(gestosc = 1.25, st_chem = 2.8)
  )
  czasy <- seq(0, 20, by = 0.1)
  for (stan_pocz in warunki_poczatkowe) {
    traj <- ode(y = stan_pocz,
                times = czasy,
                func = model_chemostatu,
                parms = list(st_wejscia = st_wejscia, wspolczynnik_wzrostu = wspolczynnik_wzrostu))
    lines(traj[,"st_chem"], traj[,"gestosc"], lwd = 2, col = "black")
    m <- floor(nrow(traj)/2)
    arrows(traj[m, "st_chem"], traj[m, "gestosc"],
           traj[m+1, "st_chem"], traj[m+1, "gestosc"],
           length = 0.06, col = "black")
  }

  # Punkty równowagi
  if (st_rownowagi > zakres_x[1] && st_rownowagi < zakres_x[2]) {
    gestosc_rownowagi <- (st_wejscia - st_rownowagi)*(1 + st_rownowagi)/(wspolczynnik_wzrostu * st_rownowagi)
    points(st_rownowagi, gestosc_rownowagi, pch = 16, col = "blue", cex = 1.5)
  }
  points(st_wejscia, 0, pch = 16, col = "red", cex = 1.5)
}

# Dwa portrety fazowe obok siebie
par(mfrow = c(1, 2), mar = c(5, 5, 4, 2))

rysuj_portret_fazowy(st_wejscia = 3, wspolczynnik_wzrostu = 2)

Warning in arrows(traj[m, "st_chem"], traj[m, "gestosc"], traj[m + 1,
"st_chem"], : zero-length arrow is of indeterminate angle and so skipped
Warning in arrows(traj[m, "st_chem"], traj[m, "gestosc"], traj[m + 1,
"st_chem"], : zero-length arrow is of indeterminate angle and so skipped

rysuj_portret_fazowy(st_wejscia = 3, wspolczynnik_wzrostu = 1.25)

a) Gdy maksymalne tempo wzrostu w przeliczeniu na czas rozcieńczania (y) jest wystarczająco duże to bakterie stabilizuja sie w chemostacie i osiągają niezerowe stężenie.

b) Gdy y jest za małe, układ nie nawiązuje stabilizacji z niezerową populacją, tylko dochodzi do całkowitego wymycia

Zad 4 z faz:

a) Opis modelu dynamicznego układu transkrypcji i translacji z autoregulacją

Model ten przedstawia zmiany stężenia dwóch cząsteczek: informacyjnego RNA genu cI (oznaczanego jako mCI) oraz kodowanego przez niego białka represora (pCI). Układ zawiera dodatnie sprzężenie zwrotne oraz enzymatyczną degradację białka.

Równanie dla mCI (mRNA):

rm_max * (1 / (1 + (DYST / pCI)^n) + lPRM) - ym * mCI

Produkcja mRNA: określana przez maksymalną wydajność transkrypcji rm_max, zmodyfikowaną przez aktywację promotora przez białko pCI oraz niewielką ekspresję bazową leak.

Funkcja aktywująca: im wyższe stężenie pCI, tym silniejsza aktywacja promotora. Dla pCI ≫ DYST produkcja osiąga maksimum, dla pCI ≪ DYST — spada do wartości minimalnej.

Degradacja mRNA: liniowa, ze stałą szybkością ym.

Równanie dla pCI (białko):

rp * mCI - yp * pCI - KCAT * pL * (1 / (1 + Km / pCI))

Synteza białka: zależna od obecności mCI, z szybkością translacji rp.

Naturalny rozkład białka: z prędkością yp.

Enzymatyczna degradacja: opisana funkcją Michaelisa-Mentena, zależna od stężenia proteazy pL.

Opis biologiczny:

Sprzężenie dodatnie: białko pCI wzmacnia transkrypcję własnego genu, co może prowadzić do istnienia dwóch stabilnych stanów (niski i wysoki poziom ekspresji).

Rozkład enzymatyczny: umożliwia ostrzejsze przełączanie między stanami poprzez zależność nieliniową

b)

library(deSolve)

# Parametry
parametry <- list(
  wsp_Hill = 1,
  st_DYST = 2.5e-8,
  lPRM = 0.1,
  KCAT = 0.071, 
  Km = 3.7e-9,
  maks_synteza_mRNA = 1.35e-9, 
  degradacja_mRNA = 2.38e-3, 
  synteza_bialka = 5e-5, 
  degradacja_bialka = 2e-4, 
  st_L = 1e-10
)

# Model
model_mRNA_bialko <- function(t, stan, parametry) {
  with(as.list(c(stan, parametry)), {
    zmiana_mRNA <- maks_synteza_mRNA * (1 / (1 + (st_DYST / bialko_CI)^wsp_Hill) + lPRM) - degradacja_mRNA * mRNA_CI
    zmiana_bialka <- synteza_bialka * mRNA_CI - degradacja_bialka * bialko_CI - KCAT * st_L * (1 / (1 + Km / bialko_CI))
    return(list(c(zmiana_mRNA, zmiana_bialka)))
  })
}

stan_poczatkowy <- c(mRNA_CI = 0, bialko_CI = 0)
czasy <- seq(0, 10000, by = 10)  

wyniki <- ode(y = stan_poczatkowy, times = czasy, func = model_mRNA_bialko, parms = parametry)

wyniki_df <- as.data.frame(wyniki)

plot(wyniki_df$time, wyniki_df$mRNA_CI, type = "l", col = "blue", 
     xlab = "Czas (s)", ylab = "Stężenie (M)", 
     main = "Dynamika mRNA cI i białka cI",
     ylim = c(0, max(wyniki_df$mRNA_CI, wyniki_df$bialko_CI) * 1.1))
lines(wyniki_df$time, wyniki_df$bialko_CI, col = "red")
legend("topright", legend = c("mRNA cI", "Białko cI"), 
       col = c("blue", "red"), lty = 1, cex = 0.6)
grid()

plot(wyniki_df$time, wyniki_df$mRNA_CI, type = "l", 
     xlab = "Czas (s)", ylab = "Stężenie mRNA cI (M)",
     main = "Dynamika mRNA cI", col = "blue", lwd = 2)
grid()
legend("topright", legend = "mRNA cI", col = "blue", lty = 1, lwd = 2)

plot(wyniki_df$time, wyniki_df$bialko_CI, type = "l", 
     xlab = "Czas (s)", ylab = "Stężenie białka cI (M)",
     main = "Dynamika białka cI", col = "red", lwd = 2)
grid()
legend("topright", legend = "Białko cI", col = "red", lty = 1, lwd = 2)

c)

library(phaseR)

par(mar = c(4, 4, 2.5, 1.5) + 0.1)

# Parametry 
parametry <- list(
  wsp_Hill = 1,
  st_DYST = 2.5e-8,
  lPRM = 0.1,
  KCAT = 0.071, 
  Km = 3.7e-9,
  maks_synteza_mRNA = 1.35e-9, 
  degradacja_mRNA = 2.38e-3, 
  synteza_bialka = 5e-5, 
  degradacja_bialka = 2e-4, 
  st_L = 1e-10
)

model_fazowy <- function(t, stan, parametry) {
  with(as.list(c(parametry)), {
    zmiana_mRNA <- maks_synteza_mRNA * (1/(1 + (st_DYST/stan[2])^wsp_Hill) + lPRM) - degradacja_mRNA*stan[1]
    zmiana_bialka <- synteza_bialka*stan[1] - degradacja_bialka*stan[2] - KCAT*st_L*(1/(1 + Km/stan[2]))
    return(list(c(zmiana_mRNA, zmiana_bialka)))
  })
}

plot.new()
plot.window(xlim = c(0, 7e-7), ylim = c(0, 1.5e-7))
title(main = "Portret fazowy: mRNA cI vs białko cI",
      xlab = "Stężenie mRNA cI (M)",
      ylab = "Stężenie białka cI (M)")
axis(1); axis(2)
box()
grid()

# Pole wektorowe
flowField(model_fazowy, 
          parameters = parametry,
          xlim = c(0, 7e-7),
          ylim = c(0, 1.5e-7),
          add = TRUE,
          arrow.head = 0.05,
          frac = 0.8)

$add
[1] TRUE

$arrow.head
[1] 0.05

$arrow.type
[1] "equal"

$col
[1] "gray"

$deriv
<srcref: file "" chars 19:17 to 25:1>
<bytecode: 0x0000021658b70810>

$dx
             [,1]          [,2]         [,3]          [,4]          [,5]
 [1,]  1.3500e-10  4.465385e-10  6.41250e-10  7.744737e-10  8.713636e-10
 [2,]  5.1700e-11  3.632385e-10  5.57950e-10  6.911737e-10  7.880636e-10
 [3,] -3.1600e-11  2.799385e-10  4.74650e-10  6.078737e-10  7.047636e-10
 [4,] -1.1490e-10  1.966385e-10  3.91350e-10  5.245737e-10  6.214636e-10
 [5,] -1.9820e-10  1.133385e-10  3.08050e-10  4.412737e-10  5.381636e-10
 [6,] -2.8150e-10  3.003846e-11  2.24750e-10  3.579737e-10  4.548636e-10
 [7,] -3.6480e-10 -5.326154e-11  1.41450e-10  2.746737e-10  3.715636e-10
 [8,] -4.4810e-10 -1.365615e-10  5.81500e-11  1.913737e-10  2.882636e-10
 [9,] -5.3140e-10 -2.198615e-10 -2.51500e-11  1.080737e-10  2.049636e-10
[10,] -6.1470e-10 -3.031615e-10 -1.08450e-10  2.477368e-11  1.216636e-10
[11,] -6.9800e-10 -3.864615e-10 -1.91750e-10 -5.852632e-11  3.836364e-11
[12,] -7.8130e-10 -4.697615e-10 -2.75050e-10 -1.418263e-10 -4.493636e-11
[13,] -8.6460e-10 -5.530615e-10 -3.58350e-10 -2.251263e-10 -1.282364e-10
[14,] -9.4790e-10 -6.363615e-10 -4.41650e-10 -3.084263e-10 -2.115364e-10
[15,] -1.0312e-09 -7.196615e-10 -5.24950e-10 -3.917263e-10 -2.948364e-10
[16,] -1.1145e-09 -8.029615e-10 -6.08250e-10 -4.750263e-10 -3.781364e-10
[17,] -1.1978e-09 -8.862615e-10 -6.91550e-10 -5.583263e-10 -4.614364e-10
[18,] -1.2811e-09 -9.695615e-10 -7.74850e-10 -6.416263e-10 -5.447364e-10
[19,] -1.3644e-09 -1.052862e-09 -8.58150e-10 -7.249263e-10 -6.280364e-10
[20,] -1.4477e-09 -1.136162e-09 -9.41450e-10 -8.082263e-10 -7.113364e-10
[21,] -1.5310e-09 -1.219462e-09 -1.02475e-09 -8.915263e-10 -7.946364e-10
            [,6]          [,7]          [,8]          [,9]         [,10]
 [1,]  9.450e-10  1.002857e-09  1.049516e-09  1.087941e-09  1.120135e-09
 [2,]  8.617e-10  9.195571e-10  9.662161e-10  1.004641e-09  1.036835e-09
 [3,]  7.784e-10  8.362571e-10  8.829161e-10  9.213412e-10  9.535351e-10
 [4,]  6.951e-10  7.529571e-10  7.996161e-10  8.380412e-10  8.702351e-10
 [5,]  6.118e-10  6.696571e-10  7.163161e-10  7.547412e-10  7.869351e-10
 [6,]  5.285e-10  5.863571e-10  6.330161e-10  6.714412e-10  7.036351e-10
 [7,]  4.452e-10  5.030571e-10  5.497161e-10  5.881412e-10  6.203351e-10
 [8,]  3.619e-10  4.197571e-10  4.664161e-10  5.048412e-10  5.370351e-10
 [9,]  2.786e-10  3.364571e-10  3.831161e-10  4.215412e-10  4.537351e-10
[10,]  1.953e-10  2.531571e-10  2.998161e-10  3.382412e-10  3.704351e-10
[11,]  1.120e-10  1.698571e-10  2.165161e-10  2.549412e-10  2.871351e-10
[12,]  2.870e-11  8.655714e-11  1.332161e-10  1.716412e-10  2.038351e-10
[13,] -5.460e-11  3.257143e-12  4.991613e-11  8.834118e-11  1.205351e-10
[14,] -1.379e-10 -8.004286e-11 -3.338387e-11  5.041176e-12  3.723514e-11
[15,] -2.212e-10 -1.633429e-10 -1.166839e-10 -7.825882e-11 -4.606486e-11
[16,] -3.045e-10 -2.466429e-10 -1.999839e-10 -1.615588e-10 -1.293649e-10
[17,] -3.878e-10 -3.299429e-10 -2.832839e-10 -2.448588e-10 -2.126649e-10
[18,] -4.711e-10 -4.132429e-10 -3.665839e-10 -3.281588e-10 -2.959649e-10
[19,] -5.544e-10 -4.965429e-10 -4.498839e-10 -4.114588e-10 -3.792649e-10
[20,] -6.377e-10 -5.798429e-10 -5.331839e-10 -4.947588e-10 -4.625649e-10
[21,] -7.210e-10 -6.631429e-10 -6.164839e-10 -5.780588e-10 -5.458649e-10
            [,11]         [,12]         [,13]         [,14]         [,15]
 [1,]  1.1475e-09  1.171047e-09  1.191522e-09  1.209490e-09  1.225385e-09
 [2,]  1.0642e-09  1.087747e-09  1.108222e-09  1.126190e-09  1.142085e-09
 [3,]  9.8090e-10  1.004447e-09  1.024922e-09  1.042890e-09  1.058785e-09
 [4,]  8.9760e-10  9.211465e-10  9.416217e-10  9.595898e-10  9.754846e-10
 [5,]  8.1430e-10  8.378465e-10  8.583217e-10  8.762898e-10  8.921846e-10
 [6,]  7.3100e-10  7.545465e-10  7.750217e-10  7.929898e-10  8.088846e-10
 [7,]  6.4770e-10  6.712465e-10  6.917217e-10  7.096898e-10  7.255846e-10
 [8,]  5.6440e-10  5.879465e-10  6.084217e-10  6.263898e-10  6.422846e-10
 [9,]  4.8110e-10  5.046465e-10  5.251217e-10  5.430898e-10  5.589846e-10
[10,]  3.9780e-10  4.213465e-10  4.418217e-10  4.597898e-10  4.756846e-10
[11,]  3.1450e-10  3.380465e-10  3.585217e-10  3.764898e-10  3.923846e-10
[12,]  2.3120e-10  2.547465e-10  2.752217e-10  2.931898e-10  3.090846e-10
[13,]  1.4790e-10  1.714465e-10  1.919217e-10  2.098898e-10  2.257846e-10
[14,]  6.4600e-11  8.814651e-11  1.086217e-10  1.265898e-10  1.424846e-10
[15,] -1.8700e-11  4.846512e-12  2.532174e-11  4.328980e-11  5.918462e-11
[16,] -1.0200e-10 -7.845349e-11 -5.797826e-11 -4.001020e-11 -2.411538e-11
[17,] -1.8530e-10 -1.617535e-10 -1.412783e-10 -1.233102e-10 -1.074154e-10
[18,] -2.6860e-10 -2.450535e-10 -2.245783e-10 -2.066102e-10 -1.907154e-10
[19,] -3.5190e-10 -3.283535e-10 -3.078783e-10 -2.899102e-10 -2.740154e-10
[20,] -4.3520e-10 -4.116535e-10 -3.911783e-10 -3.732102e-10 -3.573154e-10
[21,] -5.1850e-10 -4.949535e-10 -4.744783e-10 -4.565102e-10 -4.406154e-10
              [,16]         [,17]         [,18]         [,19]         [,20]
 [1,]  1.239545e-09  1.252241e-09  1.263689e-09  1.274063e-09  1.283507e-09
 [2,]  1.156245e-09  1.168941e-09  1.180389e-09  1.190763e-09  1.200207e-09
 [3,]  1.072945e-09  1.085641e-09  1.097089e-09  1.107462e-09  1.116907e-09
 [4,]  9.896455e-10  1.002341e-09  1.013789e-09  1.024163e-09  1.033607e-09
 [5,]  9.063455e-10  9.190414e-10  9.304885e-10  9.408625e-10  9.503075e-10
 [6,]  8.230455e-10  8.357414e-10  8.471885e-10  8.575625e-10  8.670075e-10
 [7,]  7.397455e-10  7.524414e-10  7.638885e-10  7.742625e-10  7.837075e-10
 [8,]  6.564455e-10  6.691414e-10  6.805885e-10  6.909625e-10  7.004075e-10
 [9,]  5.731455e-10  5.858414e-10  5.972885e-10  6.076625e-10  6.171075e-10
[10,]  4.898455e-10  5.025414e-10  5.139885e-10  5.243625e-10  5.338075e-10
[11,]  4.065455e-10  4.192414e-10  4.306885e-10  4.410625e-10  4.505075e-10
[12,]  3.232455e-10  3.359414e-10  3.473885e-10  3.577625e-10  3.672075e-10
[13,]  2.399455e-10  2.526414e-10  2.640885e-10  2.744625e-10  2.839075e-10
[14,]  1.566455e-10  1.693414e-10  1.807885e-10  1.911625e-10  2.006075e-10
[15,]  7.334545e-11  8.604138e-11  9.748852e-11  1.078625e-10  1.173075e-10
[16,] -9.954545e-12  2.741379e-12  1.418852e-11  2.456250e-11  3.400746e-11
[17,] -9.325455e-11 -8.055862e-11 -6.911148e-11 -5.873750e-11 -4.929254e-11
[18,] -1.765545e-10 -1.638586e-10 -1.524115e-10 -1.420375e-10 -1.325925e-10
[19,] -2.598545e-10 -2.471586e-10 -2.357115e-10 -2.253375e-10 -2.158925e-10
[20,] -3.431545e-10 -3.304586e-10 -3.190115e-10 -3.086375e-10 -2.991925e-10
[21,] -4.264545e-10 -4.137586e-10 -4.023115e-10 -3.919375e-10 -3.824925e-10
              [,21]
 [1,]  1.292143e-09
 [2,]  1.208843e-09
 [3,]  1.125543e-09
 [4,]  1.042243e-09
 [5,]  9.589429e-10
 [6,]  8.756429e-10
 [7,]  7.923429e-10
 [8,]  7.090429e-10
 [9,]  6.257429e-10
[10,]  5.424429e-10
[11,]  4.591429e-10
[12,]  3.758429e-10
[13,]  2.925429e-10
[14,]  2.092429e-10
[15,]  1.259429e-10
[16,]  4.264286e-11
[17,] -4.065714e-11
[18,] -1.239571e-10
[19,] -2.072571e-10
[20,] -2.905571e-10
[21,] -3.738571e-10

$dy
           [,1]          [,2]          [,3]          [,4]          [,5]
 [1,] 0.000e+00 -6.254464e-12 -8.695187e-12 -1.059733e-11 -1.232047e-11
 [2,] 1.750e-12 -4.504464e-12 -6.945187e-12 -8.847328e-12 -1.057047e-11
 [3,] 3.500e-12 -2.754464e-12 -5.195187e-12 -7.097328e-12 -8.820475e-12
 [4,] 5.250e-12 -1.004464e-12 -3.445187e-12 -5.347328e-12 -7.070475e-12
 [5,] 7.000e-12  7.455357e-13 -1.695187e-12 -3.597328e-12 -5.320475e-12
 [6,] 8.750e-12  2.495536e-12  5.481283e-14 -1.847328e-12 -3.570475e-12
 [7,] 1.050e-11  4.245536e-12  1.804813e-12 -9.732824e-14 -1.820475e-12
 [8,] 1.225e-11  5.995536e-12  3.554813e-12  1.652672e-12 -7.047478e-14
 [9,] 1.400e-11  7.745536e-12  5.304813e-12  3.402672e-12  1.679525e-12
[10,] 1.575e-11  9.495536e-12  7.054813e-12  5.152672e-12  3.429525e-12
[11,] 1.750e-11  1.124554e-11  8.804813e-12  6.902672e-12  5.179525e-12
[12,] 1.925e-11  1.299554e-11  1.055481e-11  8.652672e-12  6.929525e-12
[13,] 2.100e-11  1.474554e-11  1.230481e-11  1.040267e-11  8.679525e-12
[14,] 2.275e-11  1.649554e-11  1.405481e-11  1.215267e-11  1.042953e-11
[15,] 2.450e-11  1.824554e-11  1.580481e-11  1.390267e-11  1.217953e-11
[16,] 2.625e-11  1.999554e-11  1.755481e-11  1.565267e-11  1.392953e-11
[17,] 2.800e-11  2.174554e-11  1.930481e-11  1.740267e-11  1.567953e-11
[18,] 2.975e-11  2.349554e-11  2.105481e-11  1.915267e-11  1.742953e-11
[19,] 3.150e-11  2.524554e-11  2.280481e-11  2.090267e-11  1.917953e-11
[20,] 3.325e-11  2.699554e-11  2.455481e-11  2.265267e-11  2.092953e-11
[21,] 3.500e-11  2.874554e-11  2.630481e-11  2.440267e-11  2.267953e-11
               [,6]          [,7]          [,8]          [,9]         [,10]
 [1,] -1.396238e-11 -1.556057e-11 -1.713256e-11 -1.868760e-11 -2.023104e-11
 [2,] -1.221238e-11 -1.381057e-11 -1.538256e-11 -1.693760e-11 -1.848104e-11
 [3,] -1.046238e-11 -1.206057e-11 -1.363256e-11 -1.518760e-11 -1.673104e-11
 [4,] -8.712379e-12 -1.031057e-11 -1.188256e-11 -1.343760e-11 -1.498104e-11
 [5,] -6.962379e-12 -8.560575e-12 -1.013256e-11 -1.168760e-11 -1.323104e-11
 [6,] -5.212379e-12 -6.810575e-12 -8.382562e-12 -9.937598e-12 -1.148104e-11
 [7,] -3.462379e-12 -5.060575e-12 -6.632562e-12 -8.187598e-12 -9.731039e-12
 [8,] -1.712379e-12 -3.310575e-12 -4.882562e-12 -6.437598e-12 -7.981039e-12
 [9,]  3.762136e-14 -1.560575e-12 -3.132562e-12 -4.687598e-12 -6.231039e-12
[10,]  1.787621e-12  1.894251e-13 -1.382562e-12 -2.937598e-12 -4.481039e-12
[11,]  3.537621e-12  1.939425e-12  3.674377e-13 -1.187598e-12 -2.731039e-12
[12,]  5.287621e-12  3.689425e-12  2.117438e-12  5.624019e-13 -9.810393e-13
[13,]  7.037621e-12  5.439425e-12  3.867438e-12  2.312402e-12  7.689607e-13
[14,]  8.787621e-12  7.189425e-12  5.617438e-12  4.062402e-12  2.518961e-12
[15,]  1.053762e-11  8.939425e-12  7.367438e-12  5.812402e-12  4.268961e-12
[16,]  1.228762e-11  1.068943e-11  9.117438e-12  7.562402e-12  6.018961e-12
[17,]  1.403762e-11  1.243943e-11  1.086744e-11  9.312402e-12  7.768961e-12
[18,]  1.578762e-11  1.418943e-11  1.261744e-11  1.106240e-11  9.518961e-12
[19,]  1.753762e-11  1.593943e-11  1.436744e-11  1.281240e-11  1.126896e-11
[20,]  1.928762e-11  1.768943e-11  1.611744e-11  1.456240e-11  1.301896e-11
[21,]  2.103762e-11  1.943943e-11  1.786744e-11  1.631240e-11  1.476896e-11
              [,11]         [,12]         [,13]         [,14]         [,15]
 [1,] -2.176620e-11 -2.329524e-11 -2.481964e-11 -2.634042e-11 -2.785833e-11
 [2,] -2.001620e-11 -2.154524e-11 -2.306964e-11 -2.459042e-11 -2.610833e-11
 [3,] -1.826620e-11 -1.979524e-11 -2.131964e-11 -2.284042e-11 -2.435833e-11
 [4,] -1.651620e-11 -1.804524e-11 -1.956964e-11 -2.109042e-11 -2.260833e-11
 [5,] -1.476620e-11 -1.629524e-11 -1.781964e-11 -1.934042e-11 -2.085833e-11
 [6,] -1.301620e-11 -1.454524e-11 -1.606964e-11 -1.759042e-11 -1.910833e-11
 [7,] -1.126620e-11 -1.279524e-11 -1.431964e-11 -1.584042e-11 -1.735833e-11
 [8,] -9.516201e-12 -1.104524e-11 -1.256964e-11 -1.409042e-11 -1.560833e-11
 [9,] -7.766201e-12 -9.295244e-12 -1.081964e-11 -1.234042e-11 -1.385833e-11
[10,] -6.016201e-12 -7.545244e-12 -9.069637e-12 -1.059042e-11 -1.210833e-11
[11,] -4.266201e-12 -5.795244e-12 -7.319637e-12 -8.840415e-12 -1.035833e-11
[12,] -2.516201e-12 -4.045244e-12 -5.569637e-12 -7.090415e-12 -8.608326e-12
[13,] -7.662008e-13 -2.295244e-12 -3.819637e-12 -5.340415e-12 -6.858326e-12
[14,]  9.837992e-13 -5.452436e-13 -2.069637e-12 -3.590415e-12 -5.108326e-12
[15,]  2.733799e-12  1.204756e-12 -3.196371e-13 -1.840415e-12 -3.358326e-12
[16,]  4.483799e-12  2.954756e-12  1.430363e-12 -9.041502e-14 -1.608326e-12
[17,]  6.233799e-12  4.704756e-12  3.180363e-12  1.659585e-12  1.416743e-13
[18,]  7.983799e-12  6.454756e-12  4.930363e-12  3.409585e-12  1.891674e-12
[19,]  9.733799e-12  8.204756e-12  6.680363e-12  5.159585e-12  3.641674e-12
[20,]  1.148380e-11  9.954756e-12  8.430363e-12  6.909585e-12  5.391674e-12
[21,]  1.323380e-11  1.170476e-11  1.018036e-11  8.659585e-12  7.141674e-12
              [,16]         [,17]         [,18]         [,19]         [,20]
 [1,] -2.937392e-11 -3.088763e-11 -3.239977e-11 -3.391060e-11 -3.542031e-11
 [2,] -2.762392e-11 -2.913763e-11 -3.064977e-11 -3.216060e-11 -3.367031e-11
 [3,] -2.587392e-11 -2.738763e-11 -2.889977e-11 -3.041060e-11 -3.192031e-11
 [4,] -2.412392e-11 -2.563763e-11 -2.714977e-11 -2.866060e-11 -3.017031e-11
 [5,] -2.237392e-11 -2.388763e-11 -2.539977e-11 -2.691060e-11 -2.842031e-11
 [6,] -2.062392e-11 -2.213763e-11 -2.364977e-11 -2.516060e-11 -2.667031e-11
 [7,] -1.887392e-11 -2.038763e-11 -2.189977e-11 -2.341060e-11 -2.492031e-11
 [8,] -1.712392e-11 -1.863763e-11 -2.014977e-11 -2.166060e-11 -2.317031e-11
 [9,] -1.537392e-11 -1.688763e-11 -1.839977e-11 -1.991060e-11 -2.142031e-11
[10,] -1.362392e-11 -1.513763e-11 -1.664977e-11 -1.816060e-11 -1.967031e-11
[11,] -1.187392e-11 -1.338763e-11 -1.489977e-11 -1.641060e-11 -1.792031e-11
[12,] -1.012392e-11 -1.163763e-11 -1.314977e-11 -1.466060e-11 -1.617031e-11
[13,] -8.373924e-12 -9.887631e-12 -1.139977e-11 -1.291060e-11 -1.442031e-11
[14,] -6.623924e-12 -8.137631e-12 -9.649771e-12 -1.116060e-11 -1.267031e-11
[15,] -4.873924e-12 -6.387631e-12 -7.899771e-12 -9.410598e-12 -1.092031e-11
[16,] -3.123924e-12 -4.637631e-12 -6.149771e-12 -7.660598e-12 -9.170315e-12
[17,] -1.373924e-12 -2.887631e-12 -4.399771e-12 -5.910598e-12 -7.420315e-12
[18,]  3.760757e-13 -1.137631e-12 -2.649771e-12 -4.160598e-12 -5.670315e-12
[19,]  2.126076e-12  6.123686e-13 -8.997713e-13 -2.410598e-12 -3.920315e-12
[20,]  3.876076e-12  2.362369e-12  8.502287e-13 -6.605984e-13 -2.170315e-12
[21,]  5.626076e-12  4.112369e-12  2.600229e-12  1.089402e-12 -4.203146e-13
              [,21]
 [1,] -3.692908e-11
 [2,] -3.517908e-11
 [3,] -3.342908e-11
 [4,] -3.167908e-11
 [5,] -2.992908e-11
 [6,] -2.817908e-11
 [7,] -2.642908e-11
 [8,] -2.467908e-11
 [9,] -2.292908e-11
[10,] -2.117908e-11
[11,] -1.942908e-11
[12,] -1.767908e-11
[13,] -1.592908e-11
[14,] -1.417908e-11
[15,] -1.242908e-11
[16,] -1.067908e-11
[17,] -8.929083e-12
[18,] -7.179083e-12
[19,] -5.429083e-12
[20,] -3.679083e-12
[21,] -1.929083e-12

$frac
[1] 0.8

$parameters
$parameters$wsp_Hill
[1] 1

$parameters$st_DYST
[1] 2.5e-08

$parameters$lPRM
[1] 0.1

$parameters$KCAT
[1] 0.071

$parameters$Km
[1] 3.7e-09

$parameters$maks_synteza_mRNA
[1] 1.35e-09

$parameters$degradacja_mRNA
[1] 0.00238

$parameters$synteza_bialka
[1] 5e-05

$parameters$degradacja_bialka
[1] 2e-04

$parameters$st_L
[1] 1e-10


$points
[1] 21

$system
[1] "two.dim"

$x
 [1] 0.00e+00 3.50e-08 7.00e-08 1.05e-07 1.40e-07 1.75e-07 2.10e-07 2.45e-07
 [9] 2.80e-07 3.15e-07 3.50e-07 3.85e-07 4.20e-07 4.55e-07 4.90e-07 5.25e-07
[17] 5.60e-07 5.95e-07 6.30e-07 6.65e-07 7.00e-07

$xlab
[1] "x"

$xlim
[1] 0e+00 7e-07

$y
 [1] 0.000e+00 7.500e-09 1.500e-08 2.250e-08 3.000e-08 3.750e-08 4.500e-08
 [8] 5.250e-08 6.000e-08 6.750e-08 7.500e-08 8.250e-08 9.000e-08 9.750e-08
[15] 1.050e-07 1.125e-07 1.200e-07 1.275e-07 1.350e-07 1.425e-07 1.500e-07

$ylab
[1] "y"

$ylim
[1] 0.0e+00 1.5e-07

# Izokliny zerowe
nullclines(model_fazowy,
           parameters = parametry,
           xlim = c(0, 7e-7),
           ylim = c(0, 7e-7),
           points = 300,
           col = c("blue", "red"),
           lwd = 2,
           add = TRUE)

$add
[1] TRUE

$add.legend
[1] TRUE

$col
[1] "blue" "red" 

$deriv
<srcref: file "" chars 19:17 to 25:1>
<bytecode: 0x0000021658b70810>

$dx
                [,1]          [,2]          [,3]          [,4]          [,5]
  [1,]  1.350000e-10  2.505963e-10  3.479577e-10  4.310836e-10  5.028832e-10
  [2,]  1.294281e-10  2.450244e-10  3.423858e-10  4.255116e-10  4.973113e-10
  [3,]  1.238562e-10  2.394525e-10  3.368139e-10  4.199397e-10  4.917394e-10
  [4,]  1.182843e-10  2.338806e-10  3.312420e-10  4.143678e-10  4.861675e-10
  [5,]  1.127124e-10  2.283087e-10  3.256701e-10  4.087959e-10  4.805956e-10
  [6,]  1.071405e-10  2.227368e-10  3.200982e-10  4.032240e-10  4.750237e-10
  [7,]  1.015686e-10  2.171649e-10  3.145263e-10  3.976521e-10  4.694518e-10
  [8,]  9.599666e-11  2.115930e-10  3.089544e-10  3.920802e-10  4.638799e-10
  [9,]  9.042475e-11  2.060211e-10  3.033825e-10  3.865083e-10  4.583080e-10
 [10,]  8.485284e-11  2.004492e-10  2.978106e-10  3.809364e-10  4.527361e-10
 [11,]  7.928094e-11  1.948773e-10  2.922387e-10  3.753645e-10  4.471641e-10
 [12,]  7.370903e-11  1.893054e-10  2.866668e-10  3.697926e-10  4.415922e-10
 [13,]  6.813712e-11  1.837335e-10  2.810949e-10  3.642207e-10  4.360203e-10
 [14,]  6.256522e-11  1.781615e-10  2.755230e-10  3.586488e-10  4.304484e-10
 [15,]  5.699331e-11  1.725896e-10  2.699511e-10  3.530769e-10  4.248765e-10
 [16,]  5.142140e-11  1.670177e-10  2.643792e-10  3.475050e-10  4.193046e-10
 [17,]  4.584950e-11  1.614458e-10  2.588072e-10  3.419330e-10  4.137327e-10
 [18,]  4.027759e-11  1.558739e-10  2.532353e-10  3.363611e-10  4.081608e-10
 [19,]  3.470569e-11  1.503020e-10  2.476634e-10  3.307892e-10  4.025889e-10
 [20,]  2.913378e-11  1.447301e-10  2.420915e-10  3.252173e-10  3.970170e-10
 [21,]  2.356187e-11  1.391582e-10  2.365196e-10  3.196454e-10  3.914451e-10
 [22,]  1.798997e-11  1.335863e-10  2.309477e-10  3.140735e-10  3.858732e-10
 [23,]  1.241806e-11  1.280144e-10  2.253758e-10  3.085016e-10  3.803013e-10
 [24,]  6.846154e-12  1.224425e-10  2.198039e-10  3.029297e-10  3.747294e-10
 [25,]  1.274247e-12  1.168706e-10  2.142320e-10  2.973578e-10  3.691575e-10
 [26,] -4.297659e-12  1.112987e-10  2.086601e-10  2.917859e-10  3.635856e-10
 [27,] -9.869565e-12  1.057268e-10  2.030882e-10  2.862140e-10  3.580136e-10
 [28,] -1.544147e-11  1.001549e-10  1.975163e-10  2.806421e-10  3.524417e-10
 [29,] -2.101338e-11  9.458295e-11  1.919444e-10  2.750702e-10  3.468698e-10
 [30,] -2.658528e-11  8.901105e-11  1.863725e-10  2.694983e-10  3.412979e-10
 [31,] -3.215719e-11  8.343914e-11  1.808006e-10  2.639264e-10  3.357260e-10
 [32,] -3.772910e-11  7.786723e-11  1.752286e-10  2.583545e-10  3.301541e-10
 [33,] -4.330100e-11  7.229533e-11  1.696567e-10  2.527825e-10  3.245822e-10
 [34,] -4.887291e-11  6.672342e-11  1.640848e-10  2.472106e-10  3.190103e-10
 [35,] -5.444482e-11  6.115151e-11  1.585129e-10  2.416387e-10  3.134384e-10
 [36,] -6.001672e-11  5.557961e-11  1.529410e-10  2.360668e-10  3.078665e-10
 [37,] -6.558863e-11  5.000770e-11  1.473691e-10  2.304949e-10  3.022946e-10
 [38,] -7.116054e-11  4.443580e-11  1.417972e-10  2.249230e-10  2.967227e-10
 [39,] -7.673244e-11  3.886389e-11  1.362253e-10  2.193511e-10  2.911508e-10
 [40,] -8.230435e-11  3.329198e-11  1.306534e-10  2.137792e-10  2.855789e-10
 [41,] -8.787625e-11  2.772008e-11  1.250815e-10  2.082073e-10  2.800070e-10
 [42,] -9.344816e-11  2.214817e-11  1.195096e-10  2.026354e-10  2.744351e-10
 [43,] -9.902007e-11  1.657626e-11  1.139377e-10  1.970635e-10  2.688631e-10
 [44,] -1.045920e-10  1.100436e-11  1.083658e-10  1.914916e-10  2.632912e-10
 [45,] -1.101639e-10  5.432451e-12  1.027939e-10  1.859197e-10  2.577193e-10
 [46,] -1.157358e-10 -1.394557e-13  9.722196e-11  1.803478e-10  2.521474e-10
 [47,] -1.213077e-10 -5.711362e-12  9.165005e-11  1.747759e-10  2.465755e-10
 [48,] -1.268796e-10 -1.128327e-11  8.607815e-11  1.692040e-10  2.410036e-10
 [49,] -1.324515e-10 -1.685517e-11  8.050624e-11  1.636320e-10  2.354317e-10
 [50,] -1.380234e-10 -2.242708e-11  7.493434e-11  1.580601e-10  2.298598e-10
 [51,] -1.435953e-10 -2.799899e-11  6.936243e-11  1.524882e-10  2.242879e-10
 [52,] -1.491672e-10 -3.357089e-11  6.379052e-11  1.469163e-10  2.187160e-10
 [53,] -1.547391e-10 -3.914280e-11  5.821862e-11  1.413444e-10  2.131441e-10
 [54,] -1.603110e-10 -4.471471e-11  5.264671e-11  1.357725e-10  2.075722e-10
 [55,] -1.658829e-10 -5.028661e-11  4.707480e-11  1.302006e-10  2.020003e-10
 [56,] -1.714548e-10 -5.585852e-11  4.150290e-11  1.246287e-10  1.964284e-10
 [57,] -1.770268e-10 -6.143043e-11  3.593099e-11  1.190568e-10  1.908565e-10
 [58,] -1.825987e-10 -6.700233e-11  3.035908e-11  1.134849e-10  1.852845e-10
 [59,] -1.881706e-10 -7.257424e-11  2.478718e-11  1.079130e-10  1.797126e-10
 [60,] -1.937425e-10 -7.814614e-11  1.921527e-11  1.023411e-10  1.741407e-10
 [61,] -1.993144e-10 -8.371805e-11  1.364337e-11  9.676917e-11  1.685688e-10
 [62,] -2.048863e-10 -8.928996e-11  8.071459e-12  9.119726e-11  1.629969e-10
 [63,] -2.104582e-10 -9.486186e-11  2.499552e-12  8.562536e-11  1.574250e-10
 [64,] -2.160301e-10 -1.004338e-10 -3.072354e-12  8.005345e-11  1.518531e-10
 [65,] -2.216020e-10 -1.060057e-10 -8.644260e-12  7.448154e-11  1.462812e-10
 [66,] -2.271739e-10 -1.115776e-10 -1.421617e-11  6.890964e-11  1.407093e-10
 [67,] -2.327458e-10 -1.171495e-10 -1.978807e-11  6.333773e-11  1.351374e-10
 [68,] -2.383177e-10 -1.227214e-10 -2.535998e-11  5.776583e-11  1.295655e-10
 [69,] -2.438896e-10 -1.282933e-10 -3.093189e-11  5.219392e-11  1.239936e-10
 [70,] -2.494615e-10 -1.338652e-10 -3.650379e-11  4.662201e-11  1.184217e-10
 [71,] -2.550334e-10 -1.394371e-10 -4.207570e-11  4.105011e-11  1.128498e-10
 [72,] -2.606054e-10 -1.450090e-10 -4.764760e-11  3.547820e-11  1.072779e-10
 [73,] -2.661773e-10 -1.505809e-10 -5.321951e-11  2.990629e-11  1.017060e-10
 [74,] -2.717492e-10 -1.561528e-10 -5.879142e-11  2.433439e-11  9.613405e-11
 [75,] -2.773211e-10 -1.617247e-10 -6.436332e-11  1.876248e-11  9.056214e-11
 [76,] -2.828930e-10 -1.672966e-10 -6.993523e-11  1.319057e-11  8.499024e-11
 [77,] -2.884649e-10 -1.728686e-10 -7.550714e-11  7.618668e-12  7.941833e-11
 [78,] -2.940368e-10 -1.784405e-10 -8.107904e-11  2.046762e-12  7.384642e-11
 [79,] -2.996087e-10 -1.840124e-10 -8.665095e-11 -3.525145e-12  6.827452e-11
 [80,] -3.051806e-10 -1.895843e-10 -9.222286e-11 -9.097051e-12  6.270261e-11
 [81,] -3.107525e-10 -1.951562e-10 -9.779476e-11 -1.466896e-11  5.713070e-11
 [82,] -3.163244e-10 -2.007281e-10 -1.033667e-10 -2.024086e-11  5.155880e-11
 [83,] -3.218963e-10 -2.063000e-10 -1.089386e-10 -2.581277e-11  4.598689e-11
 [84,] -3.274682e-10 -2.118719e-10 -1.145105e-10 -3.138468e-11  4.041498e-11
 [85,] -3.330401e-10 -2.174438e-10 -1.200824e-10 -3.695658e-11  3.484308e-11
 [86,] -3.386120e-10 -2.230157e-10 -1.256543e-10 -4.252849e-11  2.927117e-11
 [87,] -3.441839e-10 -2.285876e-10 -1.312262e-10 -4.810040e-11  2.369927e-11
 [88,] -3.497559e-10 -2.341595e-10 -1.367981e-10 -5.367230e-11  1.812736e-11
 [89,] -3.553278e-10 -2.397314e-10 -1.423700e-10 -5.924421e-11  1.255545e-11
 [90,] -3.608997e-10 -2.453033e-10 -1.479419e-10 -6.481611e-11  6.983546e-12
 [91,] -3.664716e-10 -2.508752e-10 -1.535138e-10 -7.038802e-11  1.411640e-12
 [92,] -3.720435e-10 -2.564471e-10 -1.590857e-10 -7.595993e-11 -4.160267e-12
 [93,] -3.776154e-10 -2.620191e-10 -1.646576e-10 -8.153183e-11 -9.732173e-12
 [94,] -3.831873e-10 -2.675910e-10 -1.702295e-10 -8.710374e-11 -1.530408e-11
 [95,] -3.887592e-10 -2.731629e-10 -1.758015e-10 -9.267565e-11 -2.087599e-11
 [96,] -3.943311e-10 -2.787348e-10 -1.813734e-10 -9.824755e-11 -2.644789e-11
 [97,] -3.999030e-10 -2.843067e-10 -1.869453e-10 -1.038195e-10 -3.201980e-11
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[295,] -2.003014e-10 -2.001476e-10 -1.999948e-10 -1.998430e-10 -1.996922e-10
[296,] -2.058733e-10 -2.057195e-10 -2.055667e-10 -2.054149e-10 -2.052641e-10
[297,] -2.114452e-10 -2.112914e-10 -2.111386e-10 -2.109868e-10 -2.108360e-10
[298,] -2.170171e-10 -2.168633e-10 -2.167105e-10 -2.165587e-10 -2.164079e-10
[299,] -2.225890e-10 -2.224352e-10 -2.222824e-10 -2.221306e-10 -2.219798e-10
[300,] -2.281609e-10 -2.280071e-10 -2.278543e-10 -2.277025e-10 -2.275517e-10

$dy
               [,1]          [,2]          [,3]          [,4]          [,5]
  [1,] 0.000000e+00 -3.219708e-12 -4.902461e-12 -6.054902e-12 -6.962125e-12
  [2,] 1.170569e-13 -3.102651e-12 -4.785404e-12 -5.937845e-12 -6.845068e-12
  [3,] 2.341137e-13 -2.985595e-12 -4.668347e-12 -5.820788e-12 -6.728011e-12
  [4,] 3.511706e-13 -2.868538e-12 -4.551290e-12 -5.703732e-12 -6.610954e-12
  [5,] 4.682274e-13 -2.751481e-12 -4.434233e-12 -5.586675e-12 -6.493897e-12
  [6,] 5.852843e-13 -2.634424e-12 -4.317176e-12 -5.469618e-12 -6.376840e-12
  [7,] 7.023411e-13 -2.517367e-12 -4.200119e-12 -5.352561e-12 -6.259783e-12
  [8,] 8.193980e-13 -2.400310e-12 -4.083063e-12 -5.235504e-12 -6.142727e-12
  [9,] 9.364548e-13 -2.283254e-12 -3.966006e-12 -5.118447e-12 -6.025670e-12
 [10,] 1.053512e-12 -2.166197e-12 -3.848949e-12 -5.001390e-12 -5.908613e-12
 [11,] 1.170569e-12 -2.049140e-12 -3.731892e-12 -4.884334e-12 -5.791556e-12
 [12,] 1.287625e-12 -1.932083e-12 -3.614835e-12 -4.767277e-12 -5.674499e-12
 [13,] 1.404682e-12 -1.815026e-12 -3.497778e-12 -4.650220e-12 -5.557442e-12
 [14,] 1.521739e-12 -1.697969e-12 -3.380721e-12 -4.533163e-12 -5.440385e-12
 [15,] 1.638796e-12 -1.580912e-12 -3.263665e-12 -4.416106e-12 -5.323329e-12
 [16,] 1.755853e-12 -1.463856e-12 -3.146608e-12 -4.299049e-12 -5.206272e-12
 [17,] 1.872910e-12 -1.346799e-12 -3.029551e-12 -4.181992e-12 -5.089215e-12
 [18,] 1.989967e-12 -1.229742e-12 -2.912494e-12 -4.064936e-12 -4.972158e-12
 [19,] 2.107023e-12 -1.112685e-12 -2.795437e-12 -3.947879e-12 -4.855101e-12
 [20,] 2.224080e-12 -9.956281e-13 -2.678380e-12 -3.830822e-12 -4.738044e-12
 [21,] 2.341137e-12 -8.785712e-13 -2.561323e-12 -3.713765e-12 -4.620987e-12
 [22,] 2.458194e-12 -7.615144e-13 -2.444267e-12 -3.596708e-12 -4.503931e-12
 [23,] 2.575251e-12 -6.444575e-13 -2.327210e-12 -3.479651e-12 -4.386874e-12
 [24,] 2.692308e-12 -5.274007e-13 -2.210153e-12 -3.362594e-12 -4.269817e-12
 [25,] 2.809365e-12 -4.103438e-13 -2.093096e-12 -3.245538e-12 -4.152760e-12
 [26,] 2.926421e-12 -2.932869e-13 -1.976039e-12 -3.128481e-12 -4.035703e-12
 [27,] 3.043478e-12 -1.762301e-13 -1.858982e-12 -3.011424e-12 -3.918646e-12
 [28,] 3.160535e-12 -5.917324e-14 -1.741925e-12 -2.894367e-12 -3.801589e-12
 [29,] 3.277592e-12  5.788362e-14 -1.624869e-12 -2.777310e-12 -3.684533e-12
 [30,] 3.394649e-12  1.749405e-13 -1.507812e-12 -2.660253e-12 -3.567476e-12
 [31,] 3.511706e-12  2.919973e-13 -1.390755e-12 -2.543196e-12 -3.450419e-12
 [32,] 3.628763e-12  4.090542e-13 -1.273698e-12 -2.426140e-12 -3.333362e-12
 [33,] 3.745819e-12  5.261110e-13 -1.156641e-12 -2.309083e-12 -3.216305e-12
 [34,] 3.862876e-12  6.431679e-13 -1.039584e-12 -2.192026e-12 -3.099248e-12
 [35,] 3.979933e-12  7.602248e-13 -9.225274e-13 -2.074969e-12 -2.982191e-12
 [36,] 4.096990e-12  8.772816e-13 -8.054705e-13 -1.957912e-12 -2.865135e-12
 [37,] 4.214047e-12  9.943385e-13 -6.884137e-13 -1.840855e-12 -2.748078e-12
 [38,] 4.331104e-12  1.111395e-12 -5.713568e-13 -1.723798e-12 -2.631021e-12
 [39,] 4.448161e-12  1.228452e-12 -4.543000e-13 -1.606742e-12 -2.513964e-12
 [40,] 4.565217e-12  1.345509e-12 -3.372431e-13 -1.489685e-12 -2.396907e-12
 [41,] 4.682274e-12  1.462566e-12 -2.201863e-13 -1.372628e-12 -2.279850e-12
 [42,] 4.799331e-12  1.579623e-12 -1.031294e-13 -1.255571e-12 -2.162793e-12
 [43,] 4.916388e-12  1.696680e-12  1.392744e-14 -1.138514e-12 -2.045737e-12
 [44,] 5.033445e-12  1.813736e-12  1.309843e-13 -1.021457e-12 -1.928680e-12
 [45,] 5.150502e-12  1.930793e-12  2.480412e-13 -9.044005e-13 -1.811623e-12
 [46,] 5.267559e-12  2.047850e-12  3.650980e-13 -7.873436e-13 -1.694566e-12
 [47,] 5.384615e-12  2.164907e-12  4.821549e-13 -6.702868e-13 -1.577509e-12
 [48,] 5.501672e-12  2.281964e-12  5.992117e-13 -5.532299e-13 -1.460452e-12
 [49,] 5.618729e-12  2.399021e-12  7.162686e-13 -4.361731e-13 -1.343395e-12
 [50,] 5.735786e-12  2.516078e-12  8.333254e-13 -3.191162e-13 -1.226339e-12
 [51,] 5.852843e-12  2.633134e-12  9.503823e-13 -2.020593e-13 -1.109282e-12
 [52,] 5.969900e-12  2.750191e-12  1.067439e-12 -8.500249e-14 -9.922249e-13
 [53,] 6.086957e-12  2.867248e-12  1.184496e-12  3.205437e-14 -8.751680e-13
 [54,] 6.204013e-12  2.984305e-12  1.301553e-12  1.491112e-13 -7.581112e-13
 [55,] 6.321070e-12  3.101362e-12  1.418610e-12  2.661681e-13 -6.410543e-13
 [56,] 6.438127e-12  3.218419e-12  1.535667e-12  3.832249e-13 -5.239975e-13
 [57,] 6.555184e-12  3.335476e-12  1.652723e-12  5.002818e-13 -4.069406e-13
 [58,] 6.672241e-12  3.452532e-12  1.769780e-12  6.173386e-13 -2.898838e-13
 [59,] 6.789298e-12  3.569589e-12  1.886837e-12  7.343955e-13 -1.728269e-13
 [60,] 6.906355e-12  3.686646e-12  2.003894e-12  8.514524e-13 -5.577004e-14
 [61,] 7.023411e-12  3.803703e-12  2.120951e-12  9.685092e-13  6.128681e-14
 [62,] 7.140468e-12  3.920760e-12  2.238008e-12  1.085566e-12  1.783437e-13
 [63,] 7.257525e-12  4.037817e-12  2.355065e-12  1.202623e-12  2.954005e-13
 [64,] 7.374582e-12  4.154874e-12  2.472121e-12  1.319680e-12  4.124574e-13
 [65,] 7.491639e-12  4.271930e-12  2.589178e-12  1.436737e-12  5.295142e-13
 [66,] 7.608696e-12  4.388987e-12  2.706235e-12  1.553793e-12  6.465711e-13
 [67,] 7.725753e-12  4.506044e-12  2.823292e-12  1.670850e-12  7.636280e-13
 [68,] 7.842809e-12  4.623101e-12  2.940349e-12  1.787907e-12  8.806848e-13
 [69,] 7.959866e-12  4.740158e-12  3.057406e-12  1.904964e-12  9.977417e-13
 [70,] 8.076923e-12  4.857215e-12  3.174463e-12  2.022021e-12  1.114799e-12
 [71,] 8.193980e-12  4.974272e-12  3.291519e-12  2.139078e-12  1.231855e-12
 [72,] 8.311037e-12  5.091328e-12  3.408576e-12  2.256135e-12  1.348912e-12
 [73,] 8.428094e-12  5.208385e-12  3.525633e-12  2.373191e-12  1.465969e-12
 [74,] 8.545151e-12  5.325442e-12  3.642690e-12  2.490248e-12  1.583026e-12
 [75,] 8.662207e-12  5.442499e-12  3.759747e-12  2.607305e-12  1.700083e-12
 [76,] 8.779264e-12  5.559556e-12  3.876804e-12  2.724362e-12  1.817140e-12
 [77,] 8.896321e-12  5.676613e-12  3.993861e-12  2.841419e-12  1.934197e-12
 [78,] 9.013378e-12  5.793670e-12  4.110917e-12  2.958476e-12  2.051253e-12
 [79,] 9.130435e-12  5.910726e-12  4.227974e-12  3.075533e-12  2.168310e-12
 [80,] 9.247492e-12  6.027783e-12  4.345031e-12  3.192589e-12  2.285367e-12
 [81,] 9.364548e-12  6.144840e-12  4.462088e-12  3.309646e-12  2.402424e-12
 [82,] 9.481605e-12  6.261897e-12  4.579145e-12  3.426703e-12  2.519481e-12
 [83,] 9.598662e-12  6.378954e-12  4.696202e-12  3.543760e-12  2.636538e-12
 [84,] 9.715719e-12  6.496011e-12  4.813259e-12  3.660817e-12  2.753595e-12
 [85,] 9.832776e-12  6.613068e-12  4.930315e-12  3.777874e-12  2.870651e-12
 [86,] 9.949833e-12  6.730124e-12  5.047372e-12  3.894931e-12  2.987708e-12
 [87,] 1.006689e-11  6.847181e-12  5.164429e-12  4.011987e-12  3.104765e-12
 [88,] 1.018395e-11  6.964238e-12  5.281486e-12  4.129044e-12  3.221822e-12
 [89,] 1.030100e-11  7.081295e-12  5.398543e-12  4.246101e-12  3.338879e-12
 [90,] 1.041806e-11  7.198352e-12  5.515600e-12  4.363158e-12  3.455936e-12
 [91,] 1.053512e-11  7.315409e-12  5.632657e-12  4.480215e-12  3.572992e-12
 [92,] 1.065217e-11  7.432466e-12  5.749713e-12  4.597272e-12  3.690049e-12
 [93,] 1.076923e-11  7.549522e-12  5.866770e-12  4.714329e-12  3.807106e-12
 [94,] 1.088629e-11  7.666579e-12  5.983827e-12  4.831385e-12  3.924163e-12
 [95,] 1.100334e-11  7.783636e-12  6.100884e-12  4.948442e-12  4.041220e-12
 [96,] 1.112040e-11  7.900693e-12  6.217941e-12  5.065499e-12  4.158277e-12
 [97,] 1.123746e-11  8.017750e-12  6.334998e-12  5.182556e-12  4.275334e-12
 [98,] 1.135452e-11  8.134807e-12  6.452055e-12  5.299613e-12  4.392390e-12
 [99,] 1.147157e-11  8.251864e-12  6.569111e-12  5.416670e-12  4.509447e-12
[100,] 1.158863e-11  8.368920e-12  6.686168e-12  5.533727e-12  4.626504e-12
[101,] 1.170569e-11  8.485977e-12  6.803225e-12  5.650783e-12  4.743561e-12
[102,] 1.182274e-11  8.603034e-12  6.920282e-12  5.767840e-12  4.860618e-12
[103,] 1.193980e-11  8.720091e-12  7.037339e-12  5.884897e-12  4.977675e-12
[104,] 1.205686e-11  8.837148e-12  7.154396e-12  6.001954e-12  5.094732e-12
[105,] 1.217391e-11  8.954205e-12  7.271453e-12  6.119011e-12  5.211788e-12
[106,] 1.229097e-11  9.071262e-12  7.388509e-12  6.236068e-12  5.328845e-12
[107,] 1.240803e-11  9.188318e-12  7.505566e-12  6.353125e-12  5.445902e-12
[108,] 1.252508e-11  9.305375e-12  7.622623e-12  6.470181e-12  5.562959e-12
[109,] 1.264214e-11  9.422432e-12  7.739680e-12  6.587238e-12  5.680016e-12
[110,] 1.275920e-11  9.539489e-12  7.856737e-12  6.704295e-12  5.797073e-12
[111,] 1.287625e-11  9.656546e-12  7.973794e-12  6.821352e-12  5.914130e-12
[112,] 1.299331e-11  9.773603e-12  8.090851e-12  6.938409e-12  6.031186e-12
[113,] 1.311037e-11  9.890660e-12  8.207907e-12  7.055466e-12  6.148243e-12
[114,] 1.322742e-11  1.000772e-11  8.324964e-12  7.172523e-12  6.265300e-12
[115,] 1.334448e-11  1.012477e-11  8.442021e-12  7.289579e-12  6.382357e-12
[116,] 1.346154e-11  1.024183e-11  8.559078e-12  7.406636e-12  6.499414e-12
[117,] 1.357860e-11  1.035889e-11  8.676135e-12  7.523693e-12  6.616471e-12
[118,] 1.369565e-11  1.047594e-11  8.793192e-12  7.640750e-12  6.733528e-12
[119,] 1.381271e-11  1.059300e-11  8.910249e-12  7.757807e-12  6.850584e-12
[120,] 1.392977e-11  1.071006e-11  9.027305e-12  7.874864e-12  6.967641e-12
[121,] 1.404682e-11  1.082711e-11  9.144362e-12  7.991921e-12  7.084698e-12
[122,] 1.416388e-11  1.094417e-11  9.261419e-12  8.108977e-12  7.201755e-12
[123,] 1.428094e-11  1.106123e-11  9.378476e-12  8.226034e-12  7.318812e-12
[124,] 1.439799e-11  1.117828e-11  9.495533e-12  8.343091e-12  7.435869e-12
[125,] 1.451505e-11  1.129534e-11  9.612590e-12  8.460148e-12  7.552926e-12
[126,] 1.463211e-11  1.141240e-11  9.729647e-12  8.577205e-12  7.669982e-12
[127,] 1.474916e-11  1.152946e-11  9.846703e-12  8.694262e-12  7.787039e-12
[128,] 1.486622e-11  1.164651e-11  9.963760e-12  8.811319e-12  7.904096e-12
[129,] 1.498328e-11  1.176357e-11  1.008082e-11  8.928375e-12  8.021153e-12
[130,] 1.510033e-11  1.188063e-11  1.019787e-11  9.045432e-12  8.138210e-12
[131,] 1.521739e-11  1.199768e-11  1.031493e-11  9.162489e-12  8.255267e-12
[132,] 1.533445e-11  1.211474e-11  1.043199e-11  9.279546e-12  8.372324e-12
[133,] 1.545151e-11  1.223180e-11  1.054904e-11  9.396603e-12  8.489380e-12
[134,] 1.556856e-11  1.234885e-11  1.066610e-11  9.513660e-12  8.606437e-12
[135,] 1.568562e-11  1.246591e-11  1.078316e-11  9.630717e-12  8.723494e-12
[136,] 1.580268e-11  1.258297e-11  1.090022e-11  9.747773e-12  8.840551e-12
[137,] 1.591973e-11  1.270002e-11  1.101727e-11  9.864830e-12  8.957608e-12
[138,] 1.603679e-11  1.281708e-11  1.113433e-11  9.981887e-12  9.074665e-12
[139,] 1.615385e-11  1.293414e-11  1.125139e-11  1.009894e-11  9.191722e-12
[140,] 1.627090e-11  1.305119e-11  1.136844e-11  1.021600e-11  9.308778e-12
[141,] 1.638796e-11  1.316825e-11  1.148550e-11  1.033306e-11  9.425835e-12
[142,] 1.650502e-11  1.328531e-11  1.160256e-11  1.045011e-11  9.542892e-12
[143,] 1.662207e-11  1.340237e-11  1.171961e-11  1.056717e-11  9.659949e-12
[144,] 1.673913e-11  1.351942e-11  1.183667e-11  1.068423e-11  9.777006e-12
[145,] 1.685619e-11  1.363648e-11  1.195373e-11  1.080129e-11  9.894063e-12
[146,] 1.697324e-11  1.375354e-11  1.207078e-11  1.091834e-11  1.001112e-11
[147,] 1.709030e-11  1.387059e-11  1.218784e-11  1.103540e-11  1.012818e-11
[148,] 1.720736e-11  1.398765e-11  1.230490e-11  1.115246e-11  1.024523e-11
[149,] 1.732441e-11  1.410471e-11  1.242195e-11  1.126951e-11  1.036229e-11
[150,] 1.744147e-11  1.422176e-11  1.253901e-11  1.138657e-11  1.047935e-11
[151,] 1.755853e-11  1.433882e-11  1.265607e-11  1.150363e-11  1.059640e-11
[152,] 1.767559e-11  1.445588e-11  1.277312e-11  1.162068e-11  1.071346e-11
[153,] 1.779264e-11  1.457293e-11  1.289018e-11  1.173774e-11  1.083052e-11
[154,] 1.790970e-11  1.468999e-11  1.300724e-11  1.185480e-11  1.094757e-11
[155,] 1.802676e-11  1.480705e-11  1.312430e-11  1.197185e-11  1.106463e-11
[156,] 1.814381e-11  1.492410e-11  1.324135e-11  1.208891e-11  1.118169e-11
[157,] 1.826087e-11  1.504116e-11  1.335841e-11  1.220597e-11  1.129875e-11
[158,] 1.837793e-11  1.515822e-11  1.347547e-11  1.232302e-11  1.141580e-11
[159,] 1.849498e-11  1.527527e-11  1.359252e-11  1.244008e-11  1.153286e-11
[160,] 1.861204e-11  1.539233e-11  1.370958e-11  1.255714e-11  1.164992e-11
[161,] 1.872910e-11  1.550939e-11  1.382664e-11  1.267419e-11  1.176697e-11
[162,] 1.884615e-11  1.562645e-11  1.394369e-11  1.279125e-11  1.188403e-11
[163,] 1.896321e-11  1.574350e-11  1.406075e-11  1.290831e-11  1.200109e-11
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[238,] -1.174468e-10 -1.179151e-10 -1.183835e-10 -1.188518e-10 -1.193202e-10
[239,] -1.173297e-10 -1.177981e-10 -1.182664e-10 -1.187348e-10 -1.192031e-10
[240,] -1.172127e-10 -1.176810e-10 -1.181494e-10 -1.186177e-10 -1.190861e-10
[241,] -1.170956e-10 -1.175640e-10 -1.180323e-10 -1.185007e-10 -1.189690e-10
[242,] -1.169786e-10 -1.174469e-10 -1.179153e-10 -1.183836e-10 -1.188520e-10
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[244,] -1.167444e-10 -1.172128e-10 -1.176811e-10 -1.181495e-10 -1.186179e-10
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[247,] -1.163933e-10 -1.168616e-10 -1.173300e-10 -1.177983e-10 -1.182667e-10
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[259,] -1.149886e-10 -1.154569e-10 -1.159253e-10 -1.163936e-10 -1.168620e-10
[260,] -1.148715e-10 -1.153399e-10 -1.158082e-10 -1.162766e-10 -1.167449e-10
[261,] -1.147545e-10 -1.152228e-10 -1.156912e-10 -1.161595e-10 -1.166279e-10
[262,] -1.146374e-10 -1.151058e-10 -1.155741e-10 -1.160425e-10 -1.165108e-10
[263,] -1.145204e-10 -1.149887e-10 -1.154571e-10 -1.159254e-10 -1.163938e-10
[264,] -1.144033e-10 -1.148717e-10 -1.153400e-10 -1.158084e-10 -1.162767e-10
[265,] -1.142862e-10 -1.147546e-10 -1.152230e-10 -1.156913e-10 -1.161597e-10
[266,] -1.141692e-10 -1.146375e-10 -1.151059e-10 -1.155742e-10 -1.160426e-10
[267,] -1.140521e-10 -1.145205e-10 -1.149888e-10 -1.154572e-10 -1.159255e-10
[268,] -1.139351e-10 -1.144034e-10 -1.148718e-10 -1.153401e-10 -1.158085e-10
[269,] -1.138180e-10 -1.142864e-10 -1.147547e-10 -1.152231e-10 -1.156914e-10
[270,] -1.137010e-10 -1.141693e-10 -1.146377e-10 -1.151060e-10 -1.155744e-10
[271,] -1.135839e-10 -1.140523e-10 -1.145206e-10 -1.149890e-10 -1.154573e-10
[272,] -1.134668e-10 -1.139352e-10 -1.144036e-10 -1.148719e-10 -1.153403e-10
[273,] -1.133498e-10 -1.138181e-10 -1.142865e-10 -1.147549e-10 -1.152232e-10
[274,] -1.132327e-10 -1.137011e-10 -1.141694e-10 -1.146378e-10 -1.151061e-10
[275,] -1.131157e-10 -1.135840e-10 -1.140524e-10 -1.145207e-10 -1.149891e-10
[276,] -1.129986e-10 -1.134670e-10 -1.139353e-10 -1.144037e-10 -1.148720e-10
[277,] -1.128816e-10 -1.133499e-10 -1.138183e-10 -1.142866e-10 -1.147550e-10
[278,] -1.127645e-10 -1.132329e-10 -1.137012e-10 -1.141696e-10 -1.146379e-10
[279,] -1.126474e-10 -1.131158e-10 -1.135842e-10 -1.140525e-10 -1.145209e-10
[280,] -1.125304e-10 -1.129987e-10 -1.134671e-10 -1.139355e-10 -1.144038e-10
[281,] -1.124133e-10 -1.128817e-10 -1.133500e-10 -1.138184e-10 -1.142867e-10
[282,] -1.122963e-10 -1.127646e-10 -1.132330e-10 -1.137013e-10 -1.141697e-10
[283,] -1.121792e-10 -1.126476e-10 -1.131159e-10 -1.135843e-10 -1.140526e-10
[284,] -1.120622e-10 -1.125305e-10 -1.129989e-10 -1.134672e-10 -1.139356e-10
[285,] -1.119451e-10 -1.124135e-10 -1.128818e-10 -1.133502e-10 -1.138185e-10
[286,] -1.118281e-10 -1.122964e-10 -1.127648e-10 -1.132331e-10 -1.137015e-10
[287,] -1.117110e-10 -1.121793e-10 -1.126477e-10 -1.131161e-10 -1.135844e-10
[288,] -1.115939e-10 -1.120623e-10 -1.125306e-10 -1.129990e-10 -1.134674e-10
[289,] -1.114769e-10 -1.119452e-10 -1.124136e-10 -1.128819e-10 -1.133503e-10
[290,] -1.113598e-10 -1.118282e-10 -1.122965e-10 -1.127649e-10 -1.132332e-10
[291,] -1.112428e-10 -1.117111e-10 -1.121795e-10 -1.126478e-10 -1.131162e-10
[292,] -1.111257e-10 -1.115941e-10 -1.120624e-10 -1.125308e-10 -1.129991e-10
[293,] -1.110087e-10 -1.114770e-10 -1.119454e-10 -1.124137e-10 -1.128821e-10
[294,] -1.108916e-10 -1.113600e-10 -1.118283e-10 -1.122967e-10 -1.127650e-10
[295,] -1.107745e-10 -1.112429e-10 -1.117112e-10 -1.121796e-10 -1.126480e-10
[296,] -1.106575e-10 -1.111258e-10 -1.115942e-10 -1.120625e-10 -1.125309e-10
[297,] -1.105404e-10 -1.110088e-10 -1.114771e-10 -1.119455e-10 -1.124138e-10
[298,] -1.104234e-10 -1.108917e-10 -1.113601e-10 -1.118284e-10 -1.122968e-10
[299,] -1.103063e-10 -1.107747e-10 -1.112430e-10 -1.117114e-10 -1.121797e-10
[300,] -1.101893e-10 -1.106576e-10 -1.111260e-10 -1.115943e-10 -1.120627e-10

$parameters
$parameters$wsp_Hill
[1] 1

$parameters$st_DYST
[1] 2.5e-08

$parameters$lPRM
[1] 0.1

$parameters$KCAT
[1] 0.071

$parameters$Km
[1] 3.7e-09

$parameters$maks_synteza_mRNA
[1] 1.35e-09

$parameters$degradacja_mRNA
[1] 0.00238

$parameters$synteza_bialka
[1] 5e-05

$parameters$degradacja_bialka
[1] 2e-04

$parameters$st_L
[1] 1e-10


$points
[1] 300

$system
[1] "two.dim"

$x
  [1] 0.000000e+00 2.341137e-09 4.682274e-09 7.023411e-09 9.364548e-09
  [6] 1.170569e-08 1.404682e-08 1.638796e-08 1.872910e-08 2.107023e-08
 [11] 2.341137e-08 2.575251e-08 2.809365e-08 3.043478e-08 3.277592e-08
 [16] 3.511706e-08 3.745819e-08 3.979933e-08 4.214047e-08 4.448161e-08
 [21] 4.682274e-08 4.916388e-08 5.150502e-08 5.384615e-08 5.618729e-08
 [26] 5.852843e-08 6.086957e-08 6.321070e-08 6.555184e-08 6.789298e-08
 [31] 7.023411e-08 7.257525e-08 7.491639e-08 7.725753e-08 7.959866e-08
 [36] 8.193980e-08 8.428094e-08 8.662207e-08 8.896321e-08 9.130435e-08
 [41] 9.364548e-08 9.598662e-08 9.832776e-08 1.006689e-07 1.030100e-07
 [46] 1.053512e-07 1.076923e-07 1.100334e-07 1.123746e-07 1.147157e-07
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 [66] 1.521739e-07 1.545151e-07 1.568562e-07 1.591973e-07 1.615385e-07
 [71] 1.638796e-07 1.662207e-07 1.685619e-07 1.709030e-07 1.732441e-07
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[101] 2.341137e-07 2.364548e-07 2.387960e-07 2.411371e-07 2.434783e-07
[106] 2.458194e-07 2.481605e-07 2.505017e-07 2.528428e-07 2.551839e-07
[111] 2.575251e-07 2.598662e-07 2.622074e-07 2.645485e-07 2.668896e-07
[116] 2.692308e-07 2.715719e-07 2.739130e-07 2.762542e-07 2.785953e-07
[121] 2.809365e-07 2.832776e-07 2.856187e-07 2.879599e-07 2.903010e-07
[126] 2.926421e-07 2.949833e-07 2.973244e-07 2.996656e-07 3.020067e-07
[131] 3.043478e-07 3.066890e-07 3.090301e-07 3.113712e-07 3.137124e-07
[136] 3.160535e-07 3.183946e-07 3.207358e-07 3.230769e-07 3.254181e-07
[141] 3.277592e-07 3.301003e-07 3.324415e-07 3.347826e-07 3.371237e-07
[146] 3.394649e-07 3.418060e-07 3.441472e-07 3.464883e-07 3.488294e-07
[151] 3.511706e-07 3.535117e-07 3.558528e-07 3.581940e-07 3.605351e-07
[156] 3.628763e-07 3.652174e-07 3.675585e-07 3.698997e-07 3.722408e-07
[161] 3.745819e-07 3.769231e-07 3.792642e-07 3.816054e-07 3.839465e-07
[166] 3.862876e-07 3.886288e-07 3.909699e-07 3.933110e-07 3.956522e-07
[171] 3.979933e-07 4.003344e-07 4.026756e-07 4.050167e-07 4.073579e-07
[176] 4.096990e-07 4.120401e-07 4.143813e-07 4.167224e-07 4.190635e-07
[181] 4.214047e-07 4.237458e-07 4.260870e-07 4.284281e-07 4.307692e-07
[186] 4.331104e-07 4.354515e-07 4.377926e-07 4.401338e-07 4.424749e-07
[191] 4.448161e-07 4.471572e-07 4.494983e-07 4.518395e-07 4.541806e-07
[196] 4.565217e-07 4.588629e-07 4.612040e-07 4.635452e-07 4.658863e-07
[201] 4.682274e-07 4.705686e-07 4.729097e-07 4.752508e-07 4.775920e-07
[206] 4.799331e-07 4.822742e-07 4.846154e-07 4.869565e-07 4.892977e-07
[211] 4.916388e-07 4.939799e-07 4.963211e-07 4.986622e-07 5.010033e-07
[216] 5.033445e-07 5.056856e-07 5.080268e-07 5.103679e-07 5.127090e-07
[221] 5.150502e-07 5.173913e-07 5.197324e-07 5.220736e-07 5.244147e-07
[226] 5.267559e-07 5.290970e-07 5.314381e-07 5.337793e-07 5.361204e-07
[231] 5.384615e-07 5.408027e-07 5.431438e-07 5.454849e-07 5.478261e-07
[236] 5.501672e-07 5.525084e-07 5.548495e-07 5.571906e-07 5.595318e-07
[241] 5.618729e-07 5.642140e-07 5.665552e-07 5.688963e-07 5.712375e-07
[246] 5.735786e-07 5.759197e-07 5.782609e-07 5.806020e-07 5.829431e-07
[251] 5.852843e-07 5.876254e-07 5.899666e-07 5.923077e-07 5.946488e-07
[256] 5.969900e-07 5.993311e-07 6.016722e-07 6.040134e-07 6.063545e-07
[261] 6.086957e-07 6.110368e-07 6.133779e-07 6.157191e-07 6.180602e-07
[266] 6.204013e-07 6.227425e-07 6.250836e-07 6.274247e-07 6.297659e-07
[271] 6.321070e-07 6.344482e-07 6.367893e-07 6.391304e-07 6.414716e-07
[276] 6.438127e-07 6.461538e-07 6.484950e-07 6.508361e-07 6.531773e-07
[281] 6.555184e-07 6.578595e-07 6.602007e-07 6.625418e-07 6.648829e-07
[286] 6.672241e-07 6.695652e-07 6.719064e-07 6.742475e-07 6.765886e-07
[291] 6.789298e-07 6.812709e-07 6.836120e-07 6.859532e-07 6.882943e-07
[296] 6.906355e-07 6.929766e-07 6.953177e-07 6.976589e-07 7.000000e-07

$xlim
[1] 0e+00 7e-07

$y
  [1] 0.000000e+00 2.341137e-09 4.682274e-09 7.023411e-09 9.364548e-09
  [6] 1.170569e-08 1.404682e-08 1.638796e-08 1.872910e-08 2.107023e-08
 [11] 2.341137e-08 2.575251e-08 2.809365e-08 3.043478e-08 3.277592e-08
 [16] 3.511706e-08 3.745819e-08 3.979933e-08 4.214047e-08 4.448161e-08
 [21] 4.682274e-08 4.916388e-08 5.150502e-08 5.384615e-08 5.618729e-08
 [26] 5.852843e-08 6.086957e-08 6.321070e-08 6.555184e-08 6.789298e-08
 [31] 7.023411e-08 7.257525e-08 7.491639e-08 7.725753e-08 7.959866e-08
 [36] 8.193980e-08 8.428094e-08 8.662207e-08 8.896321e-08 9.130435e-08
 [41] 9.364548e-08 9.598662e-08 9.832776e-08 1.006689e-07 1.030100e-07
 [46] 1.053512e-07 1.076923e-07 1.100334e-07 1.123746e-07 1.147157e-07
 [51] 1.170569e-07 1.193980e-07 1.217391e-07 1.240803e-07 1.264214e-07
 [56] 1.287625e-07 1.311037e-07 1.334448e-07 1.357860e-07 1.381271e-07
 [61] 1.404682e-07 1.428094e-07 1.451505e-07 1.474916e-07 1.498328e-07
 [66] 1.521739e-07 1.545151e-07 1.568562e-07 1.591973e-07 1.615385e-07
 [71] 1.638796e-07 1.662207e-07 1.685619e-07 1.709030e-07 1.732441e-07
 [76] 1.755853e-07 1.779264e-07 1.802676e-07 1.826087e-07 1.849498e-07
 [81] 1.872910e-07 1.896321e-07 1.919732e-07 1.943144e-07 1.966555e-07
 [86] 1.989967e-07 2.013378e-07 2.036789e-07 2.060201e-07 2.083612e-07
 [91] 2.107023e-07 2.130435e-07 2.153846e-07 2.177258e-07 2.200669e-07
 [96] 2.224080e-07 2.247492e-07 2.270903e-07 2.294314e-07 2.317726e-07
[101] 2.341137e-07 2.364548e-07 2.387960e-07 2.411371e-07 2.434783e-07
[106] 2.458194e-07 2.481605e-07 2.505017e-07 2.528428e-07 2.551839e-07
[111] 2.575251e-07 2.598662e-07 2.622074e-07 2.645485e-07 2.668896e-07
[116] 2.692308e-07 2.715719e-07 2.739130e-07 2.762542e-07 2.785953e-07
[121] 2.809365e-07 2.832776e-07 2.856187e-07 2.879599e-07 2.903010e-07
[126] 2.926421e-07 2.949833e-07 2.973244e-07 2.996656e-07 3.020067e-07
[131] 3.043478e-07 3.066890e-07 3.090301e-07 3.113712e-07 3.137124e-07
[136] 3.160535e-07 3.183946e-07 3.207358e-07 3.230769e-07 3.254181e-07
[141] 3.277592e-07 3.301003e-07 3.324415e-07 3.347826e-07 3.371237e-07
[146] 3.394649e-07 3.418060e-07 3.441472e-07 3.464883e-07 3.488294e-07
[151] 3.511706e-07 3.535117e-07 3.558528e-07 3.581940e-07 3.605351e-07
[156] 3.628763e-07 3.652174e-07 3.675585e-07 3.698997e-07 3.722408e-07
[161] 3.745819e-07 3.769231e-07 3.792642e-07 3.816054e-07 3.839465e-07
[166] 3.862876e-07 3.886288e-07 3.909699e-07 3.933110e-07 3.956522e-07
[171] 3.979933e-07 4.003344e-07 4.026756e-07 4.050167e-07 4.073579e-07
[176] 4.096990e-07 4.120401e-07 4.143813e-07 4.167224e-07 4.190635e-07
[181] 4.214047e-07 4.237458e-07 4.260870e-07 4.284281e-07 4.307692e-07
[186] 4.331104e-07 4.354515e-07 4.377926e-07 4.401338e-07 4.424749e-07
[191] 4.448161e-07 4.471572e-07 4.494983e-07 4.518395e-07 4.541806e-07
[196] 4.565217e-07 4.588629e-07 4.612040e-07 4.635452e-07 4.658863e-07
[201] 4.682274e-07 4.705686e-07 4.729097e-07 4.752508e-07 4.775920e-07
[206] 4.799331e-07 4.822742e-07 4.846154e-07 4.869565e-07 4.892977e-07
[211] 4.916388e-07 4.939799e-07 4.963211e-07 4.986622e-07 5.010033e-07
[216] 5.033445e-07 5.056856e-07 5.080268e-07 5.103679e-07 5.127090e-07
[221] 5.150502e-07 5.173913e-07 5.197324e-07 5.220736e-07 5.244147e-07
[226] 5.267559e-07 5.290970e-07 5.314381e-07 5.337793e-07 5.361204e-07
[231] 5.384615e-07 5.408027e-07 5.431438e-07 5.454849e-07 5.478261e-07
[236] 5.501672e-07 5.525084e-07 5.548495e-07 5.571906e-07 5.595318e-07
[241] 5.618729e-07 5.642140e-07 5.665552e-07 5.688963e-07 5.712375e-07
[246] 5.735786e-07 5.759197e-07 5.782609e-07 5.806020e-07 5.829431e-07
[251] 5.852843e-07 5.876254e-07 5.899666e-07 5.923077e-07 5.946488e-07
[256] 5.969900e-07 5.993311e-07 6.016722e-07 6.040134e-07 6.063545e-07
[261] 6.086957e-07 6.110368e-07 6.133779e-07 6.157191e-07 6.180602e-07
[266] 6.204013e-07 6.227425e-07 6.250836e-07 6.274247e-07 6.297659e-07
[271] 6.321070e-07 6.344482e-07 6.367893e-07 6.391304e-07 6.414716e-07
[276] 6.438127e-07 6.461538e-07 6.484950e-07 6.508361e-07 6.531773e-07
[281] 6.555184e-07 6.578595e-07 6.602007e-07 6.625418e-07 6.648829e-07
[286] 6.672241e-07 6.695652e-07 6.719064e-07 6.742475e-07 6.765886e-07
[291] 6.789298e-07 6.812709e-07 6.836120e-07 6.859532e-07 6.882943e-07
[296] 6.906355e-07 6.929766e-07 6.953177e-07 6.976589e-07 7.000000e-07

$ylim
[1] 0e+00 7e-07

czasy_krotkie <- seq(0, 1000, by = 20)

# Trajektorie
warunki_poczatkowe <- list(
  c(1e-8, 1e-7),
  c(5e-8, 5e-7),
  c(1e-7, 1e-6)
)

for (warunek in warunki_poczatkowe) {
  rozwiazanie <- ode(y = warunek, times = czasy_krotkie, func = model_fazowy, parms = parametry)
  lines(rozwiazanie[,2], rozwiazanie[,3], col = "green", lwd = 1.5)
}

legend("topright", 
       legend = c("Izoklina mRNA", "Izoklina białka", "Trajektorie"),
       col = c("blue", "red", "green"), 
       lty = 1,
       cex = 0.5) 
grid()

par(mar = c(5, 4, 4, 2) + 0.1)

Miejsca przecięcia izoklin zerowych to punkty rownowagi, na wykresie istnieje taki jeden.

d) Zmieniony wspolczynnik na 2

# Parametry (z n=2 zamiast n=1)
parametry <- list(
  wsp_Hill = 2, 
  st_DYST = 2.5e-8,
  lPRM = 0.1,
  KCAT = 0.071, 
  Km = 3.7e-9,
  maks_synteza_mRNA = 1.35e-9, 
  degradacja_mRNA = 2.38e-3, 
  synteza_bialka = 5e-5, 
  degradacja_bialka = 2e-4, 
  st_L = 1e-10
)

model_mRNA_bialko2 <- function(t, stan, parametry) {
  with(as.list(c(stan, parametry)), {
    zmiana_mRNA <- maks_synteza_mRNA * (1 / (1 + (st_DYST / bialko_CI)^wsp_Hill) + lPRM) - degradacja_mRNA * mRNA_CI
    zmiana_bialka <- synteza_bialka * mRNA_CI - degradacja_bialka * bialko_CI - KCAT * st_L * (1 / (1 + Km / bialko_CI))
    return(list(c(zmiana_mRNA, zmiana_bialka)))
  })
}

stan_poczatkowy <- c(mRNA_CI = 0, bialko_CI = 0)
czasy <- seq(0, 10000, by = 10)  

wyniki <- ode(y = stan_poczatkowy, times = czasy, func = model_mRNA_bialko2, parms = parametry)

wyniki_df <- as.data.frame(wyniki)

plot(wyniki_df$time, wyniki_df$mRNA_CI, type = "l", col = "blue", 
     xlab = "Czas (s)", ylab = "Stężenie (M)", 
     main = "Dynamika mRNA cI i białka cI",
     ylim = c(0, max(wyniki_df$mRNA_CI, wyniki_df$bialko_CI) * 1.1))
lines(wyniki_df$time, wyniki_df$bialko_CI, col = "red")
legend("topright", legend = c("mRNA cI", "Białko cI"), 
       col = c("blue", "red"), lty = 1, cex = 0.6)
grid()

plot(wyniki_df$time, wyniki_df$mRNA_CI, type = "l", 
     xlab = "Czas (s)", ylab = "Stężenie mRNA cI (M)",
     main = "Dynamika mRNA cI", col = "blue", lwd = 2)
grid()
legend("topright", legend = "mRNA cI", col = "blue", lty = 1, lwd = 2)

plot(wyniki_df$time, wyniki_df$bialko_CI, type = "l", 
     xlab = "Czas (s)", ylab = "Stężenie białka cI (M)",
     main = "Dynamika białka cI", col = "red", lwd = 2)
grid()
legend("topright", legend = "Białko cI", col = "red", lty = 1, lwd = 2)

W c) izokliny przecinają się w jednym punkcie stałym przy n = 1, co znaczy, że układ posiada jeden stabilny stan równowagi. Natomiast przy n = 2 (d) izokliny są bardziej zakrzywione.

Zmiana wspolczynnika z 1 do 2 zwieksza nieliniowość regulacji i zmienia układ ze zwykłego regulatora w rzeczywisty genetyczny przełącznik, co ma duze znaczenie dla stabilności utrzymania pamięci epigenetycznej w komórce i ekspresji genów

f)

library(deSolve)
library(phaseR)

# Parametry modelu
parametry <- list(
  wsp_Hill = 2,
  st_DYST = 2.5e-8,
  lPRM = 0.1,
  kataliza = 0.071, 
  Km = 3.7e-9,
  maks_synteza_mRNA = 1.35e-9, 
  degradacja_mRNA = 2.38e-3, 
  synteza_bialka = 5e-5, 
  degradacja_bialka = 2e-4, 
  st_L = 1e-10
)

# Wartości Km do analizy
wartosci_Km <- c(1e-10, 3.7e-9, 1e-7)

# Model zmian stężeń w czasie
model_stężeń <- function(t, stan, parametry) {
  with(as.list(c(stan, parametry)), {
    zmiana_mRNA <- maks_synteza_mRNA * (1 / (1 + (st_DYST / bialko_CI)^wsp_Hill) + lPRM) - degradacja_mRNA * mRNA_CI
    zmiana_bialka <- synteza_bialka * mRNA_CI - degradacja_bialka * bialko_CI - kataliza * st_L * (1 / (1 + Km / bialko_CI))
    return(list(c(zmiana_mRNA, zmiana_bialka)))
  })
}

# Model dla portretu fazowego
model_fazowy <- function(t, stan, parametry) {
  with(as.list(c(parametry)), {
    zmiana_mRNA <- maks_synteza_mRNA * (1/(1 + (st_DYST/stan[2])^wsp_Hill) + lPRM) - degradacja_mRNA*stan[1]
    zmiana_bialka <- synteza_bialka*stan[1] - degradacja_bialka*stan[2] - kataliza*st_L*(1/(1 + Km/stan[2]))
    return(list(c(zmiana_mRNA, zmiana_bialka)))
  })
}

# Analiza dla różnych wartości Km
for (aktualne_Km in wartosci_Km) {
  parametry$Km <- aktualne_Km
  
  # Symulacja dynamiki czasowej
  wyniki <- ode(y = c(mRNA_CI = 0, bialko_CI = 0), 
               times = seq(0, 10000, by = 10), 
               func = model_stężeń, 
               parms = parametry)
  
  wyniki_df <- as.data.frame(wyniki)
  
  # Wykres dynamiki czasowej
  plot(wyniki_df$time, wyniki_df$mRNA_CI, type = "l", col = "blue", 
       xlab = "Czas (s)", ylab = "Stężenie (M)", 
       main = paste("Dynamika mRNA i białka cI (Km =", format(aktualne_Km, scientific = TRUE), ")"),
       ylim = c(0, max(wyniki_df$mRNA_CI, wyniki_df$bialko_CI) * 1.1))
  lines(wyniki_df$time, wyniki_df$bialko_CI, col = "red")
  legend("topright", legend = c("mRNA cI", "Białko cI"), 
         col = c("blue", "red"), lty = 1, cex = 0.6)
  grid()
  
  # Przygotowanie portretu fazowego
  par(mar = c(4, 4, 2.5, 1.5) + 0.1)
  
  plot.new()
  plot.window(xlim = c(0, 7e-7), ylim = c(0, 1.5e-7))
  title(main = paste("Portret fazowy (Km =", format(aktualne_Km, scientific = TRUE), ")"),
        xlab = "Stężenie mRNA cI (M)",
        ylab = "Stężenie białka cI (M)")
  axis(1); axis(2)
  box()
  grid()
  
  # Pole wektorowe
  flowField(model_fazowy, 
            parameters = parametry,
            xlim = c(0, 7e-7),
            ylim = c(0, 1.5e-7),
            add = TRUE,
            arrow.head = 0.05,
            frac = 0.8)
  
  # Izokliny zerowe
  nullclines(model_fazowy,
             parameters = parametry,
             xlim = c(0, 7e-7),
             ylim = c(0, 7e-7),
             points = 300,
             col = c("blue", "red"),
             lwd = 2,
             add = TRUE)
  
  # Trajektorie fazowe
  czasy_krotkie <- seq(0, 1000, by = 20)
  warunki_poczatkowe <- list(
    c(1e-8, 1e-7),
    c(5e-8, 5e-7),
    c(1e-7, 1e-6)
  )
  
  for (warunek in warunki_poczatkowe) {
    trajektoria <- ode(y = warunek, times = czasy_krotkie, func = model_fazowy, parms = parametry)
    lines(trajektoria[,2], trajektoria[,3], col = "green", lwd = 1.5)
  }
  
  legend("topright", 
         legend = c("Izoklina mRNA", "Izoklina białka", "Trajektorie"),
         col = c("blue", "red", "green"), 
         lty = 1,
         cex = 0.35) 
  grid()
  
  par(mar = c(5, 4, 4, 2) + 0.1)
}

Model Lurii-Delbricka:

library(dplyr)

Warning: package 'dplyr' was built under R version 4.3.3

Attaching package: 'dplyr'

The following objects are masked from 'package:stats':

    filter, lag

The following objects are masked from 'package:base':

    intersect, setdiff, setequal, union

library(ggplot2)
library(tidyr)

Warning: package 'tidyr' was built under R version 4.3.3

# Stałe symulacji
liczba_symulacji <- 500
liczba_generacji <- 21
poczatkowa_populacja <- 200
wspolczynnik_mutacji <- 2e-9

# Model ewolucji z mutacjami
symuluj_ewolucje <- function(pocz_pop, mut_rate, generacje) {
  populacja_dzika <- pocz_pop
  populacja_mutantow <- 0
  for (gen in 1:generacje) {
    populacja_dzika <- populacja_dzika * 2
    populacja_mutantow <- populacja_mutantow * 2
    liczba_mutacji <- rpois(1, lambda = populacja_dzika * mut_rate)
    liczba_mutacji <- min(liczba_mutacji, populacja_dzika)
    populacja_dzika <- populacja_dzika - liczba_mutacji
    populacja_mutantow <- populacja_mutantow + liczba_mutacji
  }
  return(populacja_mutantow)
}

# Model Poissona
symuluj_poissona <- function(pocz_pop, mut_rate, generacje) {
  laczna_liczba_podzialow <- pocz_pop * (2^generacje - 1)
  rpois(1, lambda = laczna_liczba_podzialow * mut_rate)
}

# Kategoryzacja wyników
przydziel_kategorie <- function(wartosc) {
  if (wartosc == 0) return("0")
  else if (wartosc == 1) return("1")
  else if (wartosc == 2) return("2")
  else if (wartosc == 3) return("3")
  else if (wartosc == 4) return("4")
  else if (wartosc == 5) return("5")
  else if (wartosc <= 10) return("6–10")
  else if (wartosc <= 20) return("11–20")
  else if (wartosc <= 50) return("21–50")
  else if (wartosc <= 100) return("51–100")
  else if (wartosc <= 200) return("101–200")
  else return("201–500")
}

# Przeprowadzenie symulacji
set.seed(77)
wyniki_modelu_ewolucyjnego <- sapply(1:liczba_symulacji, function(i) symuluj_ewolucje(poczatkowa_populacja, wspolczynnik_mutacji, liczba_generacji))
wyniki_modelu_poissona <- sapply(1:liczba_symulacji, function(i) symuluj_poissona(poczatkowa_populacja, wspolczynnik_mutacji, liczba_generacji))

lista_kategorii <- c("0","1","2","3","4","5","6–10","11–20","21–50","51–100","101–200","201–500")

# Przygotowanie danych dla modelu ewolucyjnego
dane_ewolucja <- data.frame(model = "Ewolucyjny", kategoria = sapply(wyniki_modelu_ewolucyjnego, przydziel_kategorie)) |>
  group_by(model, kategoria) |>
  summarise(prawdopodobienstwo = n()/liczba_symulacji, .groups = "drop")

# Przygotowanie danych dla modelu Poissona
dane_poisson <- data.frame(model = "Poisson", kategoria = sapply(wyniki_modelu_poissona, przydziel_kategorie)) |>
  group_by(model, kategoria) |>
  summarise(prawdopodobienstwo = n()/liczba_symulacji, .groups = "drop")

# Połączenie danych
dane_razem <- bind_rows(dane_poisson, dane_ewolucja)
dane_razem$kategoria <- factor(dane_razem$kategoria, levels = lista_kategorii)

# Uzupełnienie brakujących kategorii
dane_pelne <- dane_razem %>%
  complete(model, kategoria = factor(lista_kategorii, levels = lista_kategorii), fill = list(prawdopodobienstwo = 1e-10)) %>%
  mutate(prawdopodobienstwo = ifelse(prawdopodobienstwo < 1e-10, 1e-10, prawdopodobienstwo))

# Kolory wykresów
paleta_kolorow <- c("Poisson" = "red", "Ewolucyjny" = "blue")

# Wykres pierwszy - porównanie modeli
ggplot() +
  geom_col(data = filter(dane_pelne, model == "Ewolucyjny"), 
           aes(x = kategoria, y = prawdopodobienstwo),
           fill = "gray", width = 0.9, show.legend = FALSE) +
  geom_line(data = dane_pelne, 
            aes(x = kategoria, y = prawdopodobienstwo, group = model, color = model), 
            linewidth = 1) +
  geom_point(data = dane_pelne, 
             aes(x = kategoria, y = prawdopodobienstwo, color = model), 
             size = 2) +
  scale_color_manual(values = paleta_kolorow) +
  labs(title = "Symulacja eksperymentu Luria-Delbrück - a",
       x = "Liczba mutantów (m)",
       y = expression(Estymowane~italic(P)(m)),
       color = "Model") +
  theme_minimal() +
  theme(
    legend.position = c(0.85, 0.8),
    legend.key.width = unit(2.5,"lines"),
    legend.text = element_text(size = 10),
    legend.title = element_blank(),
    axis.text.x = element_text(angle = 90, hjust=1, vjust = 0.5, size =10)
  )

Warning: A numeric `legend.position` argument in `theme()` was deprecated in ggplot2
3.5.0.
ℹ Please use the `legend.position.inside` argument of `theme()` instead.

# Wykres drugi - skala logarytmiczna
ggplot(dane_pelne, aes(x = kategoria, y = prawdopodobienstwo, group = model, color = model)) +
  geom_line(linewidth = 1) +
  geom_point(size = 2) +
  geom_point(data = filter(dane_pelne, model == "Ewolucyjny"),
             color = "blue", size = 2, shape = 1) +
  scale_y_log10(limits = c(1e-10, 1), breaks = 10^seq(0, -10, by = -1)) +
  scale_color_manual(values = paleta_kolorow) +
  labs(title = "Symulacja eksperymentu Luria-Delbrück - b",
       x = "Liczba mutantów (m)",
       y = expression(Estymowane~italic(P)(m)~"[log10]"),
       color = "Model") +
  theme_minimal() +
  theme(
    legend.position = c(0.85, 0.25),
    legend.key.width = unit(2.5,"lines"),
    legend.text = element_text(size = 10),
    legend.title = element_blank(),
    axis.text.x = element_text(angle = 90, hjust=1, vjust = 0.5, size =10)
  )

Zadanie z Gillsepiego:

library(deSolve)

# Stałe reakcji
szybkosc_AB <- 0.1
szybkosc_BA <- 0.2
pocz_A <- 50
pocz_B <- 0
wektor_A <- c(pocz_A)
wektor_B <- c(pocz_B)

czas <- c(0) # czas początkowy
czas_max <- 100
aktualny_czas <- 0
krok <- 2 # licznik iteracji

# Symulacja stochastyczna - metoda Gillespie
while(aktualny_czas <= czas_max){
  
  szybkosc1 <- szybkosc_AB * wektor_A[krok-1] # synteza B z A
  szybkosc2 <- szybkosc_BA * wektor_B[krok-1] # rozpad B do A
  suma_szybkosci <- szybkosc1 + szybkosc2

  los1 <- runif(1) # liczby losowe
  los2 <- runif(1)
  
  krok_czasu <- -log(los1) / suma_szybkosci # czas do następnej reakcji
  
  # Reakcja syntezy B
  if(0 <= los2 && los2 < szybkosc1 / suma_szybkosci) {
    wektor_A[krok] <- wektor_A[krok-1] - 1
    wektor_B[krok] <- wektor_B[krok-1] + 1
    if(wektor_A[krok] < 0) wektor_A[krok] <- 0
  }
  # Reakcja rozpadu B
  if(szybkosc1 / suma_szybkosci <= los2 && los2 <= 1) {
    wektor_A[krok] <- wektor_A[krok-1] + 1
    wektor_B[krok] <- wektor_B[krok-1] - 1
    if(wektor_B[krok] < 0) wektor_B[krok] <- 0
  }

  czas[krok] <- czas[krok-1] + krok_czasu
  aktualny_czas <- aktualny_czas + krok_czasu
  krok <- krok + 1
}

# Wykres trajektorii stochastycznych
plot(czas, wektor_A, type="l", col="red", ylim = range(c(wektor_A, wektor_B)),
     xlab = "Czas", ylab = "Liczba cząsteczek", main = "Symulacja stochastyczna")
lines(czas, wektor_B, col="blue")

# Model deterministyczny
model_det_A_B <- function(czaas, stan, parametry){
  with(as.list(c(stan, parametry)), {
    dA <- -szybkosc_AB * A + szybkosc_BA * B
    dB <- szybkosc_AB * A - szybkosc_BA * B
    return(list(c(A = dA, B = dB)))
  })
}

parametry <- c(szybkosc_AB = szybkosc_AB, szybkosc_BA = szybkosc_BA)
stan_pocz <- c(A = pocz_A, B = pocz_B)
czas_det <- seq(0, 100, by = 0.1)

wyniki_det <- as.data.frame(lsoda(y = stan_pocz, times = czas_det, 
                                 func = model_det_A_B, parms = parametry))

# Porównanie modeli
plot(wyniki_det[, "time"], wyniki_det[, "A"], type = "l", col = "red", lwd = 2, 
     ylim = c(0, max(wektor_A)), xlab = "Czas", ylab = "Liczba cząsteczek", 
     main = "Porównanie modeli")
lines(wyniki_det[, "time"], wyniki_det[, "B"], col = "blue", lwd = 2)

# Dodanie wyników stochastycznych
lines(czas, wektor_A, lty = 3, lwd = 1.5, col="red")
lines(czas, wektor_B, lty = 3, lwd = 1.5, col="blue")

legend("topright", legend = c("A - det.", "B - det.", "A - stoch.", "B - stoch."),
       col = c("red", "blue", "red", "blue"), lty = c(1,1,3,3), cex=0.8)

# Drugi model stochastyczny (asocjacja-dysocjacja)
szybkosc_wiazania <- 0.01
szybkosc_rozpadu <- 0.1
pocz_L <- 50
pocz_R <- 30
pocz_LR <- 0
wektor_L <- c(pocz_L)
wektor_R <- c(pocz_R)
wektor_LR <- c(pocz_LR)

czas <- c(0)
aktualny_czas <- 0
krok <- 2

while(aktualny_czas <= czas_max){
  
  prop_wiazanie <- szybkosc_wiazania * wektor_L[krok-1] * wektor_R[krok-1]
  prop_rozpad <- szybkosc_rozpadu * wektor_LR[krok-1]
  suma_prop <- prop_wiazanie + prop_rozpad
  
  los1 <- runif(1)
  los2 <- runif(1)
  
  krok_czasu <- -log(los1) / suma_prop

  # Reakcja wiązania
  if(0 <= los2 && los2 < prop_wiazanie / suma_prop) {
    wektor_L[krok] <- wektor_L[krok-1] - 1
    wektor_R[krok] <- wektor_R[krok-1] - 1
    wektor_LR[krok] <- wektor_LR[krok-1] + 1
    if(wektor_L[krok] < 0) wektor_L[krok] <- 0
    if(wektor_R[krok] < 0) wektor_R[krok] <- 0
  }
  # Reakcja rozpadu
  if(prop_wiazanie / suma_prop <= los2 && los2 <= 1) {
    wektor_L[krok] <- wektor_L[krok-1] + 1
    wektor_R[krok] <- wektor_R[krok-1] + 1
    wektor_LR[krok] <- wektor_LR[krok-1] - 1
    if(wektor_LR[krok] < 0) wektor_LR[krok] <- 0
  }
  
  czas[krok] <- czas[krok-1] + krok_czasu
  aktualny_czas <- aktualny_czas + krok_czasu
  krok <- krok + 1
}

# Model deterministyczny dla drugiego układu
model_det_L_R <- function(czaas, stan, parametry) {
  with(as.list(c(stan, parametry)), {
    dL <- -szybkosc_wiazania * L * R + szybkosc_rozpadu * LR
    dR <- -szybkosc_wiazania * L * R + szybkosc_rozpadu * LR
    dLR <- szybkosc_wiazania * L * R - szybkosc_rozpadu * LR
    return(list(c(dL, dR, dLR)))
  })
}

parametry <- c(szybkosc_wiazania = szybkosc_wiazania, szybkosc_rozpadu = szybkosc_rozpadu)
stan_pocz <- c(L = pocz_L, R = pocz_R, LR = pocz_LR)

wyniki_det <- as.data.frame(lsoda(y = stan_pocz, times = czas_det, 
                                 func = model_det_L_R, parms = parametry))

# Wykres porównawczy
plot(wyniki_det[, "time"], wyniki_det[, "L"], type = "l", col = "blue", lwd = 2,
     ylim = c(0, max(wektor_L)), xlab = "Czas", ylab = "Liczba cząsteczek",
     main = "Model asocjacji-dysocjacji")
lines(wyniki_det[, "time"], wyniki_det[, "R"], col = "red", lwd = 2)
lines(wyniki_det[, "time"], wyniki_det[, "LR"], col = "green", lwd = 2)

# Dodanie wyników stochastycznych
lines(czas, wektor_L, col = "blue", lty = 3, lwd = 1.5)
lines(czas, wektor_R, col = "red", lty = 3, lwd = 1.5)
lines(czas, wektor_LR, col = "green", lty = 3, lwd = 1.5)

legend("right", legend = c("L - det.", "R - det.", "LR - det.", 
                          "L - stoch.", "R - stoch.", "LR - stoch."),
       col = c("blue", "red", "green", "blue", "red", "green"), 
       lty = c(1, 1, 1, 3, 3, 3), cex=0.7)

Cukrzyca:

library(deSolve)
library(phaseR)

# Funkcja aktywacji glukozy
aktywacja_glukoza <- function(glukoza) {
  glukoza^2 / (1 + glukoza^2)
}

# Model metabolizmu glukozy
model_metabolizmu <- function(czaas, stan, parametry) {
  with(as.list(c(stan, parametry)), {
    glukoza <- stan[1]
    insulina <- stan[2]
    
    # Dynamiczne m(t) - funkcja czasu
    mt <- 0.5 + exp(-(czaas - 5)^2)
    
    dglukoza <- mt - wrażliwość * insulina * glukoza
    dinsulina <- wydzielanie * beta * aktywacja_glukoza(glukoza) - degradacja * insulina
    
    list(c(dglukoza, dinsulina))
  })
}

# Parametry dla zdrowych i z insulinoopornością
param_zdrowy <- c(wrażliwość = 1, wydzielanie = 1, degradacja = 1, beta = 1)
param_oporny <- c(wrażliwość = 0.1, wydzielanie = 1, degradacja = 1, beta = 1)

# Obliczanie stanu równowagi dla zdrowego
rownowaga_zdrowy <- function(glukoza) {
  insulina <- 0.5 / (1 * glukoza)
  lewa_strona <- 1 * 1 * glukoza^2 / (1 + glukoza^2)
  prawa_strona <- 1 * insulina
  lewa_strona - prawa_strona
}

G_pocz <- uniroot(rownowaga_zdrowy, c(0.1, 6))$root
I_pocz <- 0.5 / G_pocz
war_pocz <- c(glukoza = G_pocz, insulina = I_pocz)

# Symulacje czasowe
okres_czasu <- seq(0, 24, 0.01) 
sym_zdrowy <- as.data.frame(lsoda(war_pocz, okres_czasu, model_metabolizmu, param_zdrowy))
sym_oporny <- as.data.frame(lsoda(war_pocz, okres_czasu, model_metabolizmu, param_oporny))

# Wykres porównawczy
plot(sym_zdrowy$time, sym_zdrowy$glukoza, type="l", col="blue", lwd=2, 
     ylim=c(0, max(sym_oporny$glukoza)), ylab="Stężenie", xlab="Czas (h)")
lines(sym_zdrowy$time, sym_zdrowy$insulina, col="red", lwd=2)
lines(sym_oporny$time, sym_oporny$glukoza, col="blue", lty=2, lwd=2)
lines(sym_oporny$time, sym_oporny$insulina, col="red", lty=2, lwd=2)
legend("topright", 
       legend=c("Glukoza - zdrowy", "Insulina - zdrowy", 
                "Glukoza - oporność", "Insulina - oporność"),
       col=c("blue", "red", "blue", "red"), 
       lty=c(1,1,2,2), lwd=2, cex=0.8)

# Funkcja do obliczenia stanu równowagi dla insulinooporności
rownowaga_oporny <- function(glukoza) {
  insulina <- 0.5 / (0.1 * glukoza)  # wrażliwość = 0.1
  lewa_strona <- glukoza^2 / (1 + glukoza^2)
  prawa_strona <- insulina
  lewa_strona - prawa_strona
}

G_pocz_oporny <- uniroot(rownowaga_oporny, c(0.1, 10))$root
I_pocz_oporny <- 0.5 / (0.1 * G_pocz_oporny)
war_pocz_oporny <- c(glukoza = G_pocz_oporny, insulina = I_pocz_oporny)

# Symulacja dla zdrowych
sym_zdrowy <- as.data.frame(lsoda(war_pocz, okres_czasu, model_metabolizmu, param_zdrowy))

# Symulacja dla insulinoopornych
sym_oporny <- as.data.frame(lsoda(war_pocz_oporny, okres_czasu, model_metabolizmu, param_oporny))

# Wykres porównawczy
plot(sym_zdrowy$time, sym_zdrowy$glukoza, type="l", col="blue", lwd=2,
     ylim=c(0, max(sym_oporny$glukoza)), ylab="Stężenie (mmol/L)", xlab="Czas (h)")
lines(sym_zdrowy$time, sym_zdrowy$insulina, col="red", lwd=2)
lines(sym_oporny$time, sym_oporny$glukoza, col="blue", lty=2, lwd=2)
lines(sym_oporny$time, sym_oporny$insulina, col="red", lty=2, lwd=2)
legend("topright", 
       legend=c("Glukoza - zdrowy", "Insulina - zdrowy", 
                "Glukoza - oporność", "Insulina - oporność"),
       col=c("blue", "red", "blue", "red"), 
       lty=c(1,1,2,2), lwd=2, cex=0.8)

# Portret fazowy dla zdrowego
flowField(model_metabolizmu,
          xlim = c(0, 5), ylim = c(0, 5),
          parameters = param_zdrowy,
          add = FALSE,
          xlab = "Glukoza", ylab = "Insulina",
          main = "Portret fazowy - zdrowy")

$add
[1] FALSE

$arrow.head
[1] 0.05

$arrow.type
[1] "equal"

$col
[1] "gray"

$deriv
<srcref: file "" chars 10:22 to 23:1>
<bytecode: 0x000002165d2bcf90>

$dx
      [,1]          [,2]          [,3]    [,4]          [,5]    [,6]   [,7]
 [1,]  0.5  5.000000e-01  5.000000e-01  0.5000  5.000000e-01  0.5000  0.500
 [2,]  0.5  4.375000e-01  3.750000e-01  0.3125  2.500000e-01  0.1875  0.125
 [3,]  0.5  3.750000e-01  2.500000e-01  0.1250  1.388789e-11 -0.1250 -0.250
 [4,]  0.5  3.125000e-01  1.250000e-01 -0.0625 -2.500000e-01 -0.4375 -0.625
 [5,]  0.5  2.500000e-01  1.388789e-11 -0.2500 -5.000000e-01 -0.7500 -1.000
 [6,]  0.5  1.875000e-01 -1.250000e-01 -0.4375 -7.500000e-01 -1.0625 -1.375
 [7,]  0.5  1.250000e-01 -2.500000e-01 -0.6250 -1.000000e+00 -1.3750 -1.750
 [8,]  0.5  6.250000e-02 -3.750000e-01 -0.8125 -1.250000e+00 -1.6875 -2.125
 [9,]  0.5  1.388789e-11 -5.000000e-01 -1.0000 -1.500000e+00 -2.0000 -2.500
[10,]  0.5 -6.250000e-02 -6.250000e-01 -1.1875 -1.750000e+00 -2.3125 -2.875
[11,]  0.5 -1.250000e-01 -7.500000e-01 -1.3750 -2.000000e+00 -2.6250 -3.250
[12,]  0.5 -1.875000e-01 -8.750000e-01 -1.5625 -2.250000e+00 -2.9375 -3.625
[13,]  0.5 -2.500000e-01 -1.000000e+00 -1.7500 -2.500000e+00 -3.2500 -4.000
[14,]  0.5 -3.125000e-01 -1.125000e+00 -1.9375 -2.750000e+00 -3.5625 -4.375
[15,]  0.5 -3.750000e-01 -1.250000e+00 -2.1250 -3.000000e+00 -3.8750 -4.750
[16,]  0.5 -4.375000e-01 -1.375000e+00 -2.3125 -3.250000e+00 -4.1875 -5.125
[17,]  0.5 -5.000000e-01 -1.500000e+00 -2.5000 -3.500000e+00 -4.5000 -5.500
[18,]  0.5 -5.625000e-01 -1.625000e+00 -2.6875 -3.750000e+00 -4.8125 -5.875
[19,]  0.5 -6.250000e-01 -1.750000e+00 -2.8750 -4.000000e+00 -5.1250 -6.250
[20,]  0.5 -6.875000e-01 -1.875000e+00 -3.0625 -4.250000e+00 -5.4375 -6.625
[21,]  0.5 -7.500000e-01 -2.000000e+00 -3.2500 -4.500000e+00 -5.7500 -7.000
         [,8]          [,9]    [,10]   [,11]    [,12]  [,13]    [,14]   [,15]
 [1,]  0.5000  5.000000e-01   0.5000   0.500   0.5000   0.50   0.5000   0.500
 [2,]  0.0625  1.388789e-11  -0.0625  -0.125  -0.1875  -0.25  -0.3125  -0.375
 [3,] -0.3750 -5.000000e-01  -0.6250  -0.750  -0.8750  -1.00  -1.1250  -1.250
 [4,] -0.8125 -1.000000e+00  -1.1875  -1.375  -1.5625  -1.75  -1.9375  -2.125
 [5,] -1.2500 -1.500000e+00  -1.7500  -2.000  -2.2500  -2.50  -2.7500  -3.000
 [6,] -1.6875 -2.000000e+00  -2.3125  -2.625  -2.9375  -3.25  -3.5625  -3.875
 [7,] -2.1250 -2.500000e+00  -2.8750  -3.250  -3.6250  -4.00  -4.3750  -4.750
 [8,] -2.5625 -3.000000e+00  -3.4375  -3.875  -4.3125  -4.75  -5.1875  -5.625
 [9,] -3.0000 -3.500000e+00  -4.0000  -4.500  -5.0000  -5.50  -6.0000  -6.500
[10,] -3.4375 -4.000000e+00  -4.5625  -5.125  -5.6875  -6.25  -6.8125  -7.375
[11,] -3.8750 -4.500000e+00  -5.1250  -5.750  -6.3750  -7.00  -7.6250  -8.250
[12,] -4.3125 -5.000000e+00  -5.6875  -6.375  -7.0625  -7.75  -8.4375  -9.125
[13,] -4.7500 -5.500000e+00  -6.2500  -7.000  -7.7500  -8.50  -9.2500 -10.000
[14,] -5.1875 -6.000000e+00  -6.8125  -7.625  -8.4375  -9.25 -10.0625 -10.875
[15,] -5.6250 -6.500000e+00  -7.3750  -8.250  -9.1250 -10.00 -10.8750 -11.750
[16,] -6.0625 -7.000000e+00  -7.9375  -8.875  -9.8125 -10.75 -11.6875 -12.625
[17,] -6.5000 -7.500000e+00  -8.5000  -9.500 -10.5000 -11.50 -12.5000 -13.500
[18,] -6.9375 -8.000000e+00  -9.0625 -10.125 -11.1875 -12.25 -13.3125 -14.375
[19,] -7.3750 -8.500000e+00  -9.6250 -10.750 -11.8750 -13.00 -14.1250 -15.250
[20,] -7.8125 -9.000000e+00 -10.1875 -11.375 -12.5625 -13.75 -14.9375 -16.125
[21,] -8.2500 -9.500000e+00 -10.7500 -12.000 -13.2500 -14.50 -15.7500 -17.000
         [,16] [,17]    [,18]   [,19]    [,20]  [,21]
 [1,]   0.5000   0.5   0.5000   0.500   0.5000   0.50
 [2,]  -0.4375  -0.5  -0.5625  -0.625  -0.6875  -0.75
 [3,]  -1.3750  -1.5  -1.6250  -1.750  -1.8750  -2.00
 [4,]  -2.3125  -2.5  -2.6875  -2.875  -3.0625  -3.25
 [5,]  -3.2500  -3.5  -3.7500  -4.000  -4.2500  -4.50
 [6,]  -4.1875  -4.5  -4.8125  -5.125  -5.4375  -5.75
 [7,]  -5.1250  -5.5  -5.8750  -6.250  -6.6250  -7.00
 [8,]  -6.0625  -6.5  -6.9375  -7.375  -7.8125  -8.25
 [9,]  -7.0000  -7.5  -8.0000  -8.500  -9.0000  -9.50
[10,]  -7.9375  -8.5  -9.0625  -9.625 -10.1875 -10.75
[11,]  -8.8750  -9.5 -10.1250 -10.750 -11.3750 -12.00
[12,]  -9.8125 -10.5 -11.1875 -11.875 -12.5625 -13.25
[13,] -10.7500 -11.5 -12.2500 -13.000 -13.7500 -14.50
[14,] -11.6875 -12.5 -13.3125 -14.125 -14.9375 -15.75
[15,] -12.6250 -13.5 -14.3750 -15.250 -16.1250 -17.00
[16,] -13.5625 -14.5 -15.4375 -16.375 -17.3125 -18.25
[17,] -14.5000 -15.5 -16.5000 -17.500 -18.5000 -19.50
[18,] -15.4375 -16.5 -17.5625 -18.625 -19.6875 -20.75
[19,] -16.3750 -17.5 -18.6250 -19.750 -20.8750 -22.00
[20,] -17.3125 -18.5 -19.6875 -20.875 -22.0625 -23.25
[21,] -18.2500 -19.5 -20.7500 -22.000 -23.2500 -24.50

$dy
            [,1]       [,2]       [,3]         [,4]        [,5]       [,6]
 [1,] 0.00000000 -0.2500000 -0.5000000 -0.750000000 -1.00000000 -1.2500000
 [2,] 0.05882353 -0.1911765 -0.4411765 -0.691176471 -0.94117647 -1.1911765
 [3,] 0.20000000 -0.0500000 -0.3000000 -0.550000000 -0.80000000 -1.0500000
 [4,] 0.36000000  0.1100000 -0.1400000 -0.390000000 -0.64000000 -0.8900000
 [5,] 0.50000000  0.2500000  0.0000000 -0.250000000 -0.50000000 -0.7500000
 [6,] 0.60975610  0.3597561  0.1097561 -0.140243902 -0.39024390 -0.6402439
 [7,] 0.69230769  0.4423077  0.1923077 -0.057692308 -0.30769231 -0.5576923
 [8,] 0.75384615  0.5038462  0.2538462  0.003846154 -0.24615385 -0.4961538
 [9,] 0.80000000  0.5500000  0.3000000  0.050000000 -0.20000000 -0.4500000
[10,] 0.83505155  0.5850515  0.3350515  0.085051546 -0.16494845 -0.4149485
[11,] 0.86206897  0.6120690  0.3620690  0.112068966 -0.13793103 -0.3879310
[12,] 0.88321168  0.6332117  0.3832117  0.133211679 -0.11678832 -0.3667883
[13,] 0.90000000  0.6500000  0.4000000  0.150000000 -0.10000000 -0.3500000
[14,] 0.91351351  0.6635135  0.4135135  0.163513514 -0.08648649 -0.3364865
[15,] 0.92452830  0.6745283  0.4245283  0.174528302 -0.07547170 -0.3254717
[16,] 0.93360996  0.6836100  0.4336100  0.183609959 -0.06639004 -0.3163900
[17,] 0.94117647  0.6911765  0.4411765  0.191176471 -0.05882353 -0.3088235
[18,] 0.94754098  0.6975410  0.4475410  0.197540984 -0.05245902 -0.3024590
[19,] 0.95294118  0.7029412  0.4529412  0.202941176 -0.04705882 -0.2970588
[20,] 0.95755968  0.7075597  0.4575597  0.207559682 -0.04244032 -0.2924403
[21,] 0.96153846  0.7115385  0.4615385  0.211538462 -0.03846154 -0.2884615
            [,7]       [,8]      [,9]     [,10]     [,11]     [,12]     [,13]
 [1,] -1.5000000 -1.7500000 -2.000000 -2.250000 -2.500000 -2.750000 -3.000000
 [2,] -1.4411765 -1.6911765 -1.941176 -2.191176 -2.441176 -2.691176 -2.941176
 [3,] -1.3000000 -1.5500000 -1.800000 -2.050000 -2.300000 -2.550000 -2.800000
 [4,] -1.1400000 -1.3900000 -1.640000 -1.890000 -2.140000 -2.390000 -2.640000
 [5,] -1.0000000 -1.2500000 -1.500000 -1.750000 -2.000000 -2.250000 -2.500000
 [6,] -0.8902439 -1.1402439 -1.390244 -1.640244 -1.890244 -2.140244 -2.390244
 [7,] -0.8076923 -1.0576923 -1.307692 -1.557692 -1.807692 -2.057692 -2.307692
 [8,] -0.7461538 -0.9961538 -1.246154 -1.496154 -1.746154 -1.996154 -2.246154
 [9,] -0.7000000 -0.9500000 -1.200000 -1.450000 -1.700000 -1.950000 -2.200000
[10,] -0.6649485 -0.9149485 -1.164948 -1.414948 -1.664948 -1.914948 -2.164948
[11,] -0.6379310 -0.8879310 -1.137931 -1.387931 -1.637931 -1.887931 -2.137931
[12,] -0.6167883 -0.8667883 -1.116788 -1.366788 -1.616788 -1.866788 -2.116788
[13,] -0.6000000 -0.8500000 -1.100000 -1.350000 -1.600000 -1.850000 -2.100000
[14,] -0.5864865 -0.8364865 -1.086486 -1.336486 -1.586486 -1.836486 -2.086486
[15,] -0.5754717 -0.8254717 -1.075472 -1.325472 -1.575472 -1.825472 -2.075472
[16,] -0.5663900 -0.8163900 -1.066390 -1.316390 -1.566390 -1.816390 -2.066390
[17,] -0.5588235 -0.8088235 -1.058824 -1.308824 -1.558824 -1.808824 -2.058824
[18,] -0.5524590 -0.8024590 -1.052459 -1.302459 -1.552459 -1.802459 -2.052459
[19,] -0.5470588 -0.7970588 -1.047059 -1.297059 -1.547059 -1.797059 -2.047059
[20,] -0.5424403 -0.7924403 -1.042440 -1.292440 -1.542440 -1.792440 -2.042440
[21,] -0.5384615 -0.7884615 -1.038462 -1.288462 -1.538462 -1.788462 -2.038462
          [,14]     [,15]     [,16]     [,17]     [,18]     [,19]     [,20]
 [1,] -3.250000 -3.500000 -3.750000 -4.000000 -4.250000 -4.500000 -4.750000
 [2,] -3.191176 -3.441176 -3.691176 -3.941176 -4.191176 -4.441176 -4.691176
 [3,] -3.050000 -3.300000 -3.550000 -3.800000 -4.050000 -4.300000 -4.550000
 [4,] -2.890000 -3.140000 -3.390000 -3.640000 -3.890000 -4.140000 -4.390000
 [5,] -2.750000 -3.000000 -3.250000 -3.500000 -3.750000 -4.000000 -4.250000
 [6,] -2.640244 -2.890244 -3.140244 -3.390244 -3.640244 -3.890244 -4.140244
 [7,] -2.557692 -2.807692 -3.057692 -3.307692 -3.557692 -3.807692 -4.057692
 [8,] -2.496154 -2.746154 -2.996154 -3.246154 -3.496154 -3.746154 -3.996154
 [9,] -2.450000 -2.700000 -2.950000 -3.200000 -3.450000 -3.700000 -3.950000
[10,] -2.414948 -2.664948 -2.914948 -3.164948 -3.414948 -3.664948 -3.914948
[11,] -2.387931 -2.637931 -2.887931 -3.137931 -3.387931 -3.637931 -3.887931
[12,] -2.366788 -2.616788 -2.866788 -3.116788 -3.366788 -3.616788 -3.866788
[13,] -2.350000 -2.600000 -2.850000 -3.100000 -3.350000 -3.600000 -3.850000
[14,] -2.336486 -2.586486 -2.836486 -3.086486 -3.336486 -3.586486 -3.836486
[15,] -2.325472 -2.575472 -2.825472 -3.075472 -3.325472 -3.575472 -3.825472
[16,] -2.316390 -2.566390 -2.816390 -3.066390 -3.316390 -3.566390 -3.816390
[17,] -2.308824 -2.558824 -2.808824 -3.058824 -3.308824 -3.558824 -3.808824
[18,] -2.302459 -2.552459 -2.802459 -3.052459 -3.302459 -3.552459 -3.802459
[19,] -2.297059 -2.547059 -2.797059 -3.047059 -3.297059 -3.547059 -3.797059
[20,] -2.292440 -2.542440 -2.792440 -3.042440 -3.292440 -3.542440 -3.792440
[21,] -2.288462 -2.538462 -2.788462 -3.038462 -3.288462 -3.538462 -3.788462
          [,21]
 [1,] -5.000000
 [2,] -4.941176
 [3,] -4.800000
 [4,] -4.640000
 [5,] -4.500000
 [6,] -4.390244
 [7,] -4.307692
 [8,] -4.246154
 [9,] -4.200000
[10,] -4.164948
[11,] -4.137931
[12,] -4.116788
[13,] -4.100000
[14,] -4.086486
[15,] -4.075472
[16,] -4.066390
[17,] -4.058824
[18,] -4.052459
[19,] -4.047059
[20,] -4.042440
[21,] -4.038462

$frac
[1] 1

$parameters
 wrażliwość wydzielanie  degradacja        beta 
          1           1           1           1 

$points
[1] 21

$system
[1] "two.dim"

$x
 [1] 0.00 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 2.25 2.50 2.75 3.00 3.25 3.50
[16] 3.75 4.00 4.25 4.50 4.75 5.00

$xlab
[1] "Glukoza"

$xlim
[1] 0 5

$y
 [1] 0.00 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 2.25 2.50 2.75 3.00 3.25 3.50
[16] 3.75 4.00 4.25 4.50 4.75 5.00

$ylab
[1] "Insulina"

$ylim
[1] 0 5

grid()

nullclines(model_metabolizmu, 
           xlim = c(0, 5), ylim = c(0, 5), 
           parameters = param_zdrowy, 
           points = 300)

$add
[1] TRUE

$add.legend
[1] TRUE

$col
[1] "blue" "cyan"

$deriv
<srcref: file "" chars 10:22 to 23:1>
<bytecode: 0x000002165d2bcf90>

$dx
       [,1]      [,2]      [,3]      [,4]      [,5]       [,6]          [,7]
  [1,]  0.5 0.5000000 0.5000000 0.5000000 0.5000000 0.50000000  5.000000e-01
  [2,]  0.5 0.4997204 0.4994407 0.4991611 0.4988814 0.49860181  4.983222e-01
  [3,]  0.5 0.4994407 0.4988814 0.4983222 0.4977629 0.49720361  4.966443e-01
  [4,]  0.5 0.4991611 0.4983222 0.4974832 0.4966443 0.49580542  4.949665e-01
  [5,]  0.5 0.4988814 0.4977629 0.4966443 0.4955258 0.49440722  4.932887e-01
  [6,]  0.5 0.4986018 0.4972036 0.4958054 0.4944072 0.49300903  4.916108e-01
  [7,]  0.5 0.4983222 0.4966443 0.4949665 0.4932887 0.49161083  4.899330e-01
  [8,]  0.5 0.4980425 0.4960851 0.4941276 0.4921701 0.49021264  4.882552e-01
  [9,]  0.5 0.4977629 0.4955258 0.4932887 0.4910516 0.48881444  4.865773e-01
 [10,]  0.5 0.4974832 0.4949665 0.4924497 0.4899330 0.48741625  4.848995e-01
 [11,]  0.5 0.4972036 0.4944072 0.4916108 0.4888144 0.48601805  4.832217e-01
 [12,]  0.5 0.4969240 0.4938479 0.4907719 0.4876959 0.48461986  4.815438e-01
 [13,]  0.5 0.4966443 0.4932887 0.4899330 0.4865773 0.48322166  4.798660e-01
 [14,]  0.5 0.4963647 0.4927294 0.4890941 0.4854588 0.48182347  4.781882e-01
 [15,]  0.5 0.4960851 0.4921701 0.4882552 0.4843402 0.48042527  4.765103e-01
 [16,]  0.5 0.4958054 0.4916108 0.4874162 0.4832217 0.47902708  4.748325e-01
 [17,]  0.5 0.4955258 0.4910516 0.4865773 0.4821031 0.47762889  4.731547e-01
 [18,]  0.5 0.4952461 0.4904923 0.4857384 0.4809846 0.47623069  4.714768e-01
 [19,]  0.5 0.4949665 0.4899330 0.4848995 0.4798660 0.47483250  4.697990e-01
 [20,]  0.5 0.4946869 0.4893737 0.4840606 0.4787474 0.47343430  4.681212e-01
 [21,]  0.5 0.4944072 0.4888144 0.4832217 0.4776289 0.47203611  4.664433e-01
 [22,]  0.5 0.4941276 0.4882552 0.4823827 0.4765103 0.47063791  4.647655e-01
 [23,]  0.5 0.4938479 0.4876959 0.4815438 0.4753918 0.46923972  4.630877e-01
 [24,]  0.5 0.4935683 0.4871366 0.4807049 0.4742732 0.46784152  4.614098e-01
 [25,]  0.5 0.4932887 0.4865773 0.4798660 0.4731547 0.46644333  4.597320e-01
 [26,]  0.5 0.4930090 0.4860181 0.4790271 0.4720361 0.46504513  4.580542e-01
 [27,]  0.5 0.4927294 0.4854588 0.4781882 0.4709176 0.46364694  4.563763e-01
 [28,]  0.5 0.4924497 0.4848995 0.4773492 0.4697990 0.46224874  4.546985e-01
 [29,]  0.5 0.4921701 0.4843402 0.4765103 0.4686804 0.46085055  4.530207e-01
 [30,]  0.5 0.4918905 0.4837809 0.4756714 0.4675619 0.45945236  4.513428e-01
 [31,]  0.5 0.4916108 0.4832217 0.4748325 0.4664433 0.45805416  4.496650e-01
 [32,]  0.5 0.4913312 0.4826624 0.4739936 0.4653248 0.45665597  4.479872e-01
 [33,]  0.5 0.4910516 0.4821031 0.4731547 0.4642062 0.45525777  4.463093e-01
 [34,]  0.5 0.4907719 0.4815438 0.4723157 0.4630877 0.45385958  4.446315e-01
 [35,]  0.5 0.4904923 0.4809846 0.4714768 0.4619691 0.45246138  4.429537e-01
 [36,]  0.5 0.4902126 0.4804253 0.4706379 0.4608505 0.45106319  4.412758e-01
 [37,]  0.5 0.4899330 0.4798660 0.4697990 0.4597320 0.44966499  4.395980e-01
 [38,]  0.5 0.4896534 0.4793067 0.4689601 0.4586134 0.44826680  4.379202e-01
 [39,]  0.5 0.4893737 0.4787474 0.4681212 0.4574949 0.44686860  4.362423e-01
 [40,]  0.5 0.4890941 0.4781882 0.4672822 0.4563763 0.44547041  4.345645e-01
 [41,]  0.5 0.4888144 0.4776289 0.4664433 0.4552578 0.44407221  4.328867e-01
 [42,]  0.5 0.4885348 0.4770696 0.4656044 0.4541392 0.44267402  4.312088e-01
 [43,]  0.5 0.4882552 0.4765103 0.4647655 0.4530207 0.44127582  4.295310e-01
 [44,]  0.5 0.4879755 0.4759511 0.4639266 0.4519021 0.43987763  4.278532e-01
 [45,]  0.5 0.4876959 0.4753918 0.4630877 0.4507835 0.43847944  4.261753e-01
 [46,]  0.5 0.4874162 0.4748325 0.4622487 0.4496650 0.43708124  4.244975e-01
 [47,]  0.5 0.4871366 0.4742732 0.4614098 0.4485464 0.43568305  4.228197e-01
 [48,]  0.5 0.4868570 0.4737139 0.4605709 0.4474279 0.43428485  4.211418e-01
 [49,]  0.5 0.4865773 0.4731547 0.4597320 0.4463093 0.43288666  4.194640e-01
 [50,]  0.5 0.4862977 0.4725954 0.4588931 0.4451908 0.43148846  4.177862e-01
 [51,]  0.5 0.4860181 0.4720361 0.4580542 0.4440722 0.43009027  4.161083e-01
 [52,]  0.5 0.4857384 0.4714768 0.4572152 0.4429537 0.42869207  4.144305e-01
 [53,]  0.5 0.4854588 0.4709176 0.4563763 0.4418351 0.42729388  4.127527e-01
 [54,]  0.5 0.4851791 0.4703583 0.4555374 0.4407165 0.42589568  4.110748e-01
 [55,]  0.5 0.4848995 0.4697990 0.4546985 0.4395980 0.42449749  4.093970e-01
 [56,]  0.5 0.4846199 0.4692397 0.4538596 0.4384794 0.42309929  4.077192e-01
 [57,]  0.5 0.4843402 0.4686804 0.4530207 0.4373609 0.42170110  4.060413e-01
 [58,]  0.5 0.4840606 0.4681212 0.4521817 0.4362423 0.42030290  4.043635e-01
 [59,]  0.5 0.4837809 0.4675619 0.4513428 0.4351238 0.41890471  4.026857e-01
 [60,]  0.5 0.4835013 0.4670026 0.4505039 0.4340052 0.41750652  4.010078e-01
 [61,]  0.5 0.4832217 0.4664433 0.4496650 0.4328867 0.41610832  3.993300e-01
 [62,]  0.5 0.4829420 0.4658841 0.4488261 0.4317681 0.41471013  3.976522e-01
 [63,]  0.5 0.4826624 0.4653248 0.4479872 0.4306495 0.41331193  3.959743e-01
 [64,]  0.5 0.4823827 0.4647655 0.4471482 0.4295310 0.41191374  3.942965e-01
 [65,]  0.5 0.4821031 0.4642062 0.4463093 0.4284124 0.41051554  3.926187e-01
 [66,]  0.5 0.4818235 0.4636469 0.4454704 0.4272939 0.40911735  3.909408e-01
 [67,]  0.5 0.4815438 0.4630877 0.4446315 0.4261753 0.40771915  3.892630e-01
 [68,]  0.5 0.4812642 0.4625284 0.4437926 0.4250568 0.40632096  3.875852e-01
 [69,]  0.5 0.4809846 0.4619691 0.4429537 0.4239382 0.40492276  3.859073e-01
 [70,]  0.5 0.4807049 0.4614098 0.4421147 0.4228197 0.40352457  3.842295e-01
 [71,]  0.5 0.4804253 0.4608505 0.4412758 0.4217011 0.40212637  3.825516e-01
 [72,]  0.5 0.4801456 0.4602913 0.4404369 0.4205825 0.40072818  3.808738e-01
 [73,]  0.5 0.4798660 0.4597320 0.4395980 0.4194640 0.39932999  3.791960e-01
 [74,]  0.5 0.4795864 0.4591727 0.4387591 0.4183454 0.39793179  3.775181e-01
 [75,]  0.5 0.4793067 0.4586134 0.4379202 0.4172269 0.39653360  3.758403e-01
 [76,]  0.5 0.4790271 0.4580542 0.4370812 0.4161083 0.39513540  3.741625e-01
 [77,]  0.5 0.4787474 0.4574949 0.4362423 0.4149898 0.39373721  3.724846e-01
 [78,]  0.5 0.4784678 0.4569356 0.4354034 0.4138712 0.39233901  3.708068e-01
 [79,]  0.5 0.4781882 0.4563763 0.4345645 0.4127527 0.39094082  3.691290e-01
 [80,]  0.5 0.4779085 0.4558170 0.4337256 0.4116341 0.38954262  3.674511e-01
 [81,]  0.5 0.4776289 0.4552578 0.4328867 0.4105155 0.38814443  3.657733e-01
 [82,]  0.5 0.4773492 0.4546985 0.4320477 0.4093970 0.38674623  3.640955e-01
 [83,]  0.5 0.4770696 0.4541392 0.4312088 0.4082784 0.38534804  3.624176e-01
 [84,]  0.5 0.4767900 0.4535799 0.4303699 0.4071599 0.38394984  3.607398e-01
 [85,]  0.5 0.4765103 0.4530207 0.4295310 0.4060413 0.38255165  3.590620e-01
 [86,]  0.5 0.4762307 0.4524614 0.4286921 0.4049228 0.38115345  3.573841e-01
 [87,]  0.5 0.4759511 0.4519021 0.4278532 0.4038042 0.37975526  3.557063e-01
 [88,]  0.5 0.4756714 0.4513428 0.4270142 0.4026857 0.37835707  3.540285e-01
 [89,]  0.5 0.4753918 0.4507835 0.4261753 0.4015671 0.37695887  3.523506e-01
 [90,]  0.5 0.4751121 0.4502243 0.4253364 0.4004485 0.37556068  3.506728e-01
 [91,]  0.5 0.4748325 0.4496650 0.4244975 0.3993300 0.37416248  3.489950e-01
 [92,]  0.5 0.4745529 0.4491057 0.4236586 0.3982114 0.37276429  3.473171e-01
 [93,]  0.5 0.4742732 0.4485464 0.4228197 0.3970929 0.37136609  3.456393e-01
 [94,]  0.5 0.4739936 0.4479872 0.4219807 0.3959743 0.36996790  3.439615e-01
 [95,]  0.5 0.4737139 0.4474279 0.4211418 0.3948558 0.36856970  3.422836e-01
 [96,]  0.5 0.4734343 0.4468686 0.4203029 0.3937372 0.36717151  3.406058e-01
 [97,]  0.5 0.4731547 0.4463093 0.4194640 0.3926187 0.36577331  3.389280e-01
 [98,]  0.5 0.4728750 0.4457500 0.4186251 0.3915001 0.36437512  3.372501e-01
 [99,]  0.5 0.4725954 0.4451908 0.4177862 0.3903815 0.36297692  3.355723e-01
[100,]  0.5 0.4723157 0.4446315 0.4169472 0.3892630 0.36157873  3.338945e-01
[101,]  0.5 0.4720361 0.4440722 0.4161083 0.3881444 0.36018053  3.322166e-01
[102,]  0.5 0.4717565 0.4435129 0.4152694 0.3870259 0.35878234  3.305388e-01
[103,]  0.5 0.4714768 0.4429537 0.4144305 0.3859073 0.35738415  3.288610e-01
[104,]  0.5 0.4711972 0.4423944 0.4135916 0.3847888 0.35598595  3.271831e-01
[105,]  0.5 0.4709176 0.4418351 0.4127527 0.3836702 0.35458776  3.255053e-01
[106,]  0.5 0.4706379 0.4412758 0.4119137 0.3825516 0.35318956  3.238275e-01
[107,]  0.5 0.4703583 0.4407165 0.4110748 0.3814331 0.35179137  3.221496e-01
[108,]  0.5 0.4700786 0.4401573 0.4102359 0.3803145 0.35039317  3.204718e-01
[109,]  0.5 0.4697990 0.4395980 0.4093970 0.3791960 0.34899498  3.187940e-01
[110,]  0.5 0.4695194 0.4390387 0.4085581 0.3780774 0.34759678  3.171161e-01
[111,]  0.5 0.4692397 0.4384794 0.4077192 0.3769589 0.34619859  3.154383e-01
[112,]  0.5 0.4689601 0.4379202 0.4068802 0.3758403 0.34480039  3.137605e-01
[113,]  0.5 0.4686804 0.4373609 0.4060413 0.3747218 0.34340220  3.120826e-01
[114,]  0.5 0.4684008 0.4368016 0.4052024 0.3736032 0.34200400  3.104048e-01
[115,]  0.5 0.4681212 0.4362423 0.4043635 0.3724846 0.34060581  3.087270e-01
[116,]  0.5 0.4678415 0.4356830 0.4035246 0.3713661 0.33920762  3.070491e-01
[117,]  0.5 0.4675619 0.4351238 0.4026857 0.3702475 0.33780942  3.053713e-01
[118,]  0.5 0.4672822 0.4345645 0.4018467 0.3691290 0.33641123  3.036935e-01
[119,]  0.5 0.4670026 0.4340052 0.4010078 0.3680104 0.33501303  3.020156e-01
[120,]  0.5 0.4667230 0.4334459 0.4001689 0.3668919 0.33361484  3.003378e-01
[121,]  0.5 0.4664433 0.4328867 0.3993300 0.3657733 0.33221664  2.986600e-01
[122,]  0.5 0.4661637 0.4323274 0.3984911 0.3646548 0.33081845  2.969821e-01
[123,]  0.5 0.4658841 0.4317681 0.3976522 0.3635362 0.32942025  2.953043e-01
[124,]  0.5 0.4656044 0.4312088 0.3968132 0.3624176 0.32802206  2.936265e-01
[125,]  0.5 0.4653248 0.4306495 0.3959743 0.3612991 0.32662386  2.919486e-01
[126,]  0.5 0.4650451 0.4300903 0.3951354 0.3601805 0.32522567  2.902708e-01
[127,]  0.5 0.4647655 0.4295310 0.3942965 0.3590620 0.32382747  2.885930e-01
[128,]  0.5 0.4644859 0.4289717 0.3934576 0.3579434 0.32242928  2.869151e-01
[129,]  0.5 0.4642062 0.4284124 0.3926187 0.3568249 0.32103108  2.852373e-01
[130,]  0.5 0.4639266 0.4278532 0.3917797 0.3557063 0.31963289  2.835595e-01
[131,]  0.5 0.4636469 0.4272939 0.3909408 0.3545878 0.31823470  2.818816e-01
[132,]  0.5 0.4633673 0.4267346 0.3901019 0.3534692 0.31683650  2.802038e-01
[133,]  0.5 0.4630877 0.4261753 0.3892630 0.3523506 0.31543831  2.785260e-01
[134,]  0.5 0.4628080 0.4256160 0.3884241 0.3512321 0.31404011  2.768481e-01
[135,]  0.5 0.4625284 0.4250568 0.3875852 0.3501135 0.31264192  2.751703e-01
[136,]  0.5 0.4622487 0.4244975 0.3867462 0.3489950 0.31124372  2.734925e-01
[137,]  0.5 0.4619691 0.4239382 0.3859073 0.3478764 0.30984553  2.718146e-01
[138,]  0.5 0.4616895 0.4233789 0.3850684 0.3467579 0.30844733  2.701368e-01
[139,]  0.5 0.4614098 0.4228197 0.3842295 0.3456393 0.30704914  2.684590e-01
[140,]  0.5 0.4611302 0.4222604 0.3833906 0.3445208 0.30565094  2.667811e-01
[141,]  0.5 0.4608505 0.4217011 0.3825516 0.3434022 0.30425275  2.651033e-01
[142,]  0.5 0.4605709 0.4211418 0.3817127 0.3422836 0.30285455  2.634255e-01
[143,]  0.5 0.4602913 0.4205825 0.3808738 0.3411651 0.30145636  2.617476e-01
[144,]  0.5 0.4600116 0.4200233 0.3800349 0.3400465 0.30005816  2.600698e-01
[145,]  0.5 0.4597320 0.4194640 0.3791960 0.3389280 0.29865997  2.583920e-01
[146,]  0.5 0.4594524 0.4189047 0.3783571 0.3378094 0.29726178  2.567141e-01
[147,]  0.5 0.4591727 0.4183454 0.3775181 0.3366909 0.29586358  2.550363e-01
[148,]  0.5 0.4588931 0.4177862 0.3766792 0.3355723 0.29446539  2.533585e-01
[149,]  0.5 0.4586134 0.4172269 0.3758403 0.3344538 0.29306719  2.516806e-01
[150,]  0.5 0.4583338 0.4166676 0.3750014 0.3333352 0.29166900  2.500028e-01
[151,]  0.5 0.4580542 0.4161083 0.3741625 0.3322166 0.29027080  2.483250e-01
[152,]  0.5 0.4577745 0.4155490 0.3733236 0.3310981 0.28887261  2.466471e-01
[153,]  0.5 0.4574949 0.4149898 0.3724846 0.3299795 0.28747441  2.449693e-01
[154,]  0.5 0.4572152 0.4144305 0.3716457 0.3288610 0.28607622  2.432915e-01
[155,]  0.5 0.4569356 0.4138712 0.3708068 0.3277424 0.28467802  2.416136e-01
[156,]  0.5 0.4566560 0.4133119 0.3699679 0.3266239 0.28327983  2.399358e-01
[157,]  0.5 0.4563763 0.4127527 0.3691290 0.3255053 0.28188163  2.382580e-01
[158,]  0.5 0.4560967 0.4121934 0.3682901 0.3243868 0.28048344  2.365801e-01
[159,]  0.5 0.4558170 0.4116341 0.3674511 0.3232682 0.27908525  2.349023e-01
[160,]  0.5 0.4555374 0.4110748 0.3666122 0.3221496 0.27768705  2.332245e-01
[161,]  0.5 0.4552578 0.4105155 0.3657733 0.3210311 0.27628886  2.315466e-01
[162,]  0.5 0.4549781 0.4099563 0.3649344 0.3199125 0.27489066  2.298688e-01
[163,]  0.5 0.4546985 0.4093970 0.3640955 0.3187940 0.27349247  2.281910e-01
[164,]  0.5 0.4544189 0.4088377 0.3632566 0.3176754 0.27209427  2.265131e-01
[165,]  0.5 0.4541392 0.4082784 0.3624176 0.3165569 0.27069608  2.248353e-01
[166,]  0.5 0.4538596 0.4077192 0.3615787 0.3154383 0.26929788  2.231575e-01
[167,]  0.5 0.4535799 0.4071599 0.3607398 0.3143198 0.26789969  2.214796e-01
[168,]  0.5 0.4533003 0.4066006 0.3599009 0.3132012 0.26650149  2.198018e-01
[169,]  0.5 0.4530207 0.4060413 0.3590620 0.3120826 0.26510330  2.181240e-01
[170,]  0.5 0.4527410 0.4054820 0.3582231 0.3109641 0.26370510  2.164461e-01
[171,]  0.5 0.4524614 0.4049228 0.3573841 0.3098455 0.26230691  2.147683e-01
[172,]  0.5 0.4521817 0.4043635 0.3565452 0.3087270 0.26090871  2.130905e-01
[173,]  0.5 0.4519021 0.4038042 0.3557063 0.3076084 0.25951052  2.114126e-01
[174,]  0.5 0.4516225 0.4032449 0.3548674 0.3064899 0.25811233  2.097348e-01
[175,]  0.5 0.4513428 0.4026857 0.3540285 0.3053713 0.25671413  2.080570e-01
[176,]  0.5 0.4510632 0.4021264 0.3531896 0.3042527 0.25531594  2.063791e-01
[177,]  0.5 0.4507835 0.4015671 0.3523506 0.3031342 0.25391774  2.047013e-01
[178,]  0.5 0.4505039 0.4010078 0.3515117 0.3020156 0.25251955  2.030235e-01
[179,]  0.5 0.4502243 0.4004485 0.3506728 0.3008971 0.25112135  2.013456e-01
[180,]  0.5 0.4499446 0.3998893 0.3498339 0.2997785 0.24972316  1.996678e-01
[181,]  0.5 0.4496650 0.3993300 0.3489950 0.2986600 0.24832496  1.979900e-01
[182,]  0.5 0.4493854 0.3987707 0.3481561 0.2975414 0.24692677  1.963121e-01
[183,]  0.5 0.4491057 0.3982114 0.3473171 0.2964229 0.24552857  1.946343e-01
[184,]  0.5 0.4488261 0.3976522 0.3464782 0.2953043 0.24413038  1.929565e-01
[185,]  0.5 0.4485464 0.3970929 0.3456393 0.2941857 0.24273218  1.912786e-01
[186,]  0.5 0.4482668 0.3965336 0.3448004 0.2930672 0.24133399  1.896008e-01
[187,]  0.5 0.4479872 0.3959743 0.3439615 0.2919486 0.23993579  1.879230e-01
[188,]  0.5 0.4477075 0.3954150 0.3431226 0.2908301 0.23853760  1.862451e-01
[189,]  0.5 0.4474279 0.3948558 0.3422836 0.2897115 0.23713941  1.845673e-01
[190,]  0.5 0.4471482 0.3942965 0.3414447 0.2885930 0.23574121  1.828895e-01
[191,]  0.5 0.4468686 0.3937372 0.3406058 0.2874744 0.23434302  1.812116e-01
[192,]  0.5 0.4465890 0.3931779 0.3397669 0.2863559 0.23294482  1.795338e-01
[193,]  0.5 0.4463093 0.3926187 0.3389280 0.2852373 0.23154663  1.778560e-01
[194,]  0.5 0.4460297 0.3920594 0.3380891 0.2841187 0.23014843  1.761781e-01
[195,]  0.5 0.4457500 0.3915001 0.3372501 0.2830002 0.22875024  1.745003e-01
[196,]  0.5 0.4454704 0.3909408 0.3364112 0.2818816 0.22735204  1.728225e-01
[197,]  0.5 0.4451908 0.3903815 0.3355723 0.2807631 0.22595385  1.711446e-01
[198,]  0.5 0.4449111 0.3898223 0.3347334 0.2796445 0.22455565  1.694668e-01
[199,]  0.5 0.4446315 0.3892630 0.3338945 0.2785260 0.22315746  1.677890e-01
[200,]  0.5 0.4443519 0.3887037 0.3330556 0.2774074 0.22175926  1.661111e-01
[201,]  0.5 0.4440722 0.3881444 0.3322166 0.2762889 0.22036107  1.644333e-01
[202,]  0.5 0.4437926 0.3875852 0.3313777 0.2751703 0.21896288  1.627555e-01
[203,]  0.5 0.4435129 0.3870259 0.3305388 0.2740517 0.21756468  1.610776e-01
[204,]  0.5 0.4432333 0.3864666 0.3296999 0.2729332 0.21616649  1.593998e-01
[205,]  0.5 0.4429537 0.3859073 0.3288610 0.2718146 0.21476829  1.577219e-01
[206,]  0.5 0.4426740 0.3853480 0.3280221 0.2706961 0.21337010  1.560441e-01
[207,]  0.5 0.4423944 0.3847888 0.3271831 0.2695775 0.21197190  1.543663e-01
[208,]  0.5 0.4421147 0.3842295 0.3263442 0.2684590 0.21057371  1.526884e-01
[209,]  0.5 0.4418351 0.3836702 0.3255053 0.2673404 0.20917551  1.510106e-01
[210,]  0.5 0.4415555 0.3831109 0.3246664 0.2662219 0.20777732  1.493328e-01
[211,]  0.5 0.4412758 0.3825516 0.3238275 0.2651033 0.20637912  1.476549e-01
[212,]  0.5 0.4409962 0.3819924 0.3229886 0.2639847 0.20498093  1.459771e-01
[213,]  0.5 0.4407165 0.3814331 0.3221496 0.2628662 0.20358273  1.442993e-01
[214,]  0.5 0.4404369 0.3808738 0.3213107 0.2617476 0.20218454  1.426214e-01
[215,]  0.5 0.4401573 0.3803145 0.3204718 0.2606291 0.20078634  1.409436e-01
[216,]  0.5 0.4398776 0.3797553 0.3196329 0.2595105 0.19938815  1.392658e-01
[217,]  0.5 0.4395980 0.3791960 0.3187940 0.2583920 0.19798996  1.375879e-01
[218,]  0.5 0.4393184 0.3786367 0.3179551 0.2572734 0.19659176  1.359101e-01
[219,]  0.5 0.4390387 0.3780774 0.3171161 0.2561549 0.19519357  1.342323e-01
[220,]  0.5 0.4387591 0.3775181 0.3162772 0.2550363 0.19379537  1.325544e-01
[221,]  0.5 0.4384794 0.3769589 0.3154383 0.2539177 0.19239718  1.308766e-01
[222,]  0.5 0.4381998 0.3763996 0.3145994 0.2527992 0.19099898  1.291988e-01
[223,]  0.5 0.4379202 0.3758403 0.3137605 0.2516806 0.18960079  1.275209e-01
[224,]  0.5 0.4376405 0.3752810 0.3129216 0.2505621 0.18820259  1.258431e-01
[225,]  0.5 0.4373609 0.3747218 0.3120826 0.2494435 0.18680440  1.241653e-01
[226,]  0.5 0.4370812 0.3741625 0.3112437 0.2483250 0.18540620  1.224874e-01
[227,]  0.5 0.4368016 0.3736032 0.3104048 0.2472064 0.18400801  1.208096e-01
[228,]  0.5 0.4365220 0.3730439 0.3095659 0.2460879 0.18260981  1.191318e-01
[229,]  0.5 0.4362423 0.3724846 0.3087270 0.2449693 0.18121162  1.174539e-01
[230,]  0.5 0.4359627 0.3719254 0.3078881 0.2438507 0.17981342  1.157761e-01
[231,]  0.5 0.4356830 0.3713661 0.3070491 0.2427322 0.17841523  1.140983e-01
[232,]  0.5 0.4354034 0.3708068 0.3062102 0.2416136 0.17701704  1.124204e-01
[233,]  0.5 0.4351238 0.3702475 0.3053713 0.2404951 0.17561884  1.107426e-01
[234,]  0.5 0.4348441 0.3696883 0.3045324 0.2393765 0.17422065  1.090648e-01
[235,]  0.5 0.4345645 0.3691290 0.3036935 0.2382580 0.17282245  1.073869e-01
[236,]  0.5 0.4342849 0.3685697 0.3028546 0.2371394 0.17142426  1.057091e-01
[237,]  0.5 0.4340052 0.3680104 0.3020156 0.2360208 0.17002606  1.040313e-01
[238,]  0.5 0.4337256 0.3674511 0.3011767 0.2349023 0.16862787  1.023534e-01
[239,]  0.5 0.4334459 0.3668919 0.3003378 0.2337837 0.16722967  1.006756e-01
[240,]  0.5 0.4331663 0.3663326 0.2994989 0.2326652 0.16583148  9.899777e-02
[241,]  0.5 0.4328867 0.3657733 0.2986600 0.2315466 0.16443328  9.731994e-02
[242,]  0.5 0.4326070 0.3652140 0.2978211 0.2304281 0.16303509  9.564211e-02
[243,]  0.5 0.4323274 0.3646548 0.2969821 0.2293095 0.16163689  9.396427e-02
[244,]  0.5 0.4320477 0.3640955 0.2961432 0.2281910 0.16023870  9.228644e-02
[245,]  0.5 0.4317681 0.3635362 0.2953043 0.2270724 0.15884051  9.060861e-02
[246,]  0.5 0.4314885 0.3629769 0.2944654 0.2259538 0.15744231  8.893077e-02
[247,]  0.5 0.4312088 0.3624176 0.2936265 0.2248353 0.15604412  8.725294e-02
[248,]  0.5 0.4309292 0.3618584 0.2927876 0.2237167 0.15464592  8.557511e-02
[249,]  0.5 0.4306495 0.3612991 0.2919486 0.2225982 0.15324773  8.389727e-02
[250,]  0.5 0.4303699 0.3607398 0.2911097 0.2214796 0.15184953  8.221944e-02
[251,]  0.5 0.4300903 0.3601805 0.2902708 0.2203611 0.15045134  8.054160e-02
[252,]  0.5 0.4298106 0.3596213 0.2894319 0.2192425 0.14905314  7.886377e-02
[253,]  0.5 0.4295310 0.3590620 0.2885930 0.2181240 0.14765495  7.718594e-02
[254,]  0.5 0.4292514 0.3585027 0.2877541 0.2170054 0.14625675  7.550810e-02
[255,]  0.5 0.4289717 0.3579434 0.2869151 0.2158868 0.14485856  7.383027e-02
[256,]  0.5 0.4286921 0.3573841 0.2860762 0.2147683 0.14346036  7.215244e-02
[257,]  0.5 0.4284124 0.3568249 0.2852373 0.2136497 0.14206217  7.047460e-02
[258,]  0.5 0.4281328 0.3562656 0.2843984 0.2125312 0.14066397  6.879677e-02
[259,]  0.5 0.4278532 0.3557063 0.2835595 0.2114126 0.13926578  6.711894e-02
[260,]  0.5 0.4275735 0.3551470 0.2827206 0.2102941 0.13786759  6.544110e-02
[261,]  0.5 0.4272939 0.3545878 0.2818816 0.2091755 0.13646939  6.376327e-02
[262,]  0.5 0.4270142 0.3540285 0.2810427 0.2080570 0.13507120  6.208544e-02
[263,]  0.5 0.4267346 0.3534692 0.2802038 0.2069384 0.13367300  6.040760e-02
[264,]  0.5 0.4264550 0.3529099 0.2793649 0.2058198 0.13227481  5.872977e-02
[265,]  0.5 0.4261753 0.3523506 0.2785260 0.2047013 0.13087661  5.705193e-02
[266,]  0.5 0.4258957 0.3517914 0.2776871 0.2035827 0.12947842  5.537410e-02
[267,]  0.5 0.4256160 0.3512321 0.2768481 0.2024642 0.12808022  5.369627e-02
[268,]  0.5 0.4253364 0.3506728 0.2760092 0.2013456 0.12668203  5.201843e-02
[269,]  0.5 0.4250568 0.3501135 0.2751703 0.2002271 0.12528383  5.034060e-02
[270,]  0.5 0.4247771 0.3495543 0.2743314 0.1991085 0.12388564  4.866277e-02
[271,]  0.5 0.4244975 0.3489950 0.2734925 0.1979900 0.12248744  4.698493e-02
[272,]  0.5 0.4242178 0.3484357 0.2726535 0.1968714 0.12108925  4.530710e-02
[273,]  0.5 0.4239382 0.3478764 0.2718146 0.1957528 0.11969105  4.362927e-02
[274,]  0.5 0.4236586 0.3473171 0.2709757 0.1946343 0.11829286  4.195143e-02
[275,]  0.5 0.4233789 0.3467579 0.2701368 0.1935157 0.11689467  4.027360e-02
[276,]  0.5 0.4230993 0.3461986 0.2692979 0.1923972 0.11549647  3.859577e-02
[277,]  0.5 0.4228197 0.3456393 0.2684590 0.1912786 0.11409828  3.691793e-02
[278,]  0.5 0.4225400 0.3450800 0.2676200 0.1901601 0.11270008  3.524010e-02
[279,]  0.5 0.4222604 0.3445208 0.2667811 0.1890415 0.11130189  3.356226e-02
[280,]  0.5 0.4219807 0.3439615 0.2659422 0.1879230 0.10990369  3.188443e-02
[281,]  0.5 0.4217011 0.3434022 0.2651033 0.1868044 0.10850550  3.020660e-02
[282,]  0.5 0.4214215 0.3428429 0.2642644 0.1856858 0.10710730  2.852876e-02
[283,]  0.5 0.4211418 0.3422836 0.2634255 0.1845673 0.10570911  2.685093e-02
[284,]  0.5 0.4208622 0.3417244 0.2625865 0.1834487 0.10431091  2.517310e-02
[285,]  0.5 0.4205825 0.3411651 0.2617476 0.1823302 0.10291272  2.349526e-02
[286,]  0.5 0.4203029 0.3406058 0.2609087 0.1812116 0.10151452  2.181743e-02
[287,]  0.5 0.4200233 0.3400465 0.2600698 0.1800931 0.10011633  2.013960e-02
[288,]  0.5 0.4197436 0.3394873 0.2592309 0.1789745 0.09871814  1.846176e-02
[289,]  0.5 0.4194640 0.3389280 0.2583920 0.1778560 0.09731994  1.678393e-02
[290,]  0.5 0.4191843 0.3383687 0.2575530 0.1767374 0.09592175  1.510610e-02
[291,]  0.5 0.4189047 0.3378094 0.2567141 0.1756188 0.09452355  1.342826e-02
[292,]  0.5 0.4186251 0.3372501 0.2558752 0.1745003 0.09312536  1.175043e-02
[293,]  0.5 0.4183454 0.3366909 0.2550363 0.1733817 0.09172716  1.007259e-02
[294,]  0.5 0.4180658 0.3361316 0.2541974 0.1722632 0.09032897  8.394761e-03
[295,]  0.5 0.4177862 0.3355723 0.2533585 0.1711446 0.08893077  6.716927e-03
[296,]  0.5 0.4175065 0.3350130 0.2525195 0.1700261 0.08753258  5.039094e-03
[297,]  0.5 0.4172269 0.3344538 0.2516806 0.1689075 0.08613438  3.361260e-03
[298,]  0.5 0.4169472 0.3338945 0.2508417 0.1677890 0.08473619  1.683426e-03
[299,]  0.5 0.4166676 0.3333352 0.2500028 0.1666704 0.08333799  5.592792e-06
[300,]  0.5 0.4163880 0.3327759 0.2491639 0.1655518 0.08193980 -1.672241e-03
                [,8]         [,9]        [,10]         [,11]        [,12]
  [1,]  0.5000000000  0.500000000  0.500000000  0.5000000000  0.500000000
  [2,]  0.4980425275  0.497762889  0.497483250  0.4972036107  0.496923972
  [3,]  0.4960850550  0.495525777  0.494966499  0.4944072214  0.493847944
  [4,]  0.4941275825  0.493288666  0.492449749  0.4916108321  0.490771915
  [5,]  0.4921701100  0.491051554  0.489932999  0.4888144428  0.487695887
  [6,]  0.4902126375  0.488814443  0.487416248  0.4860180535  0.484619859
  [7,]  0.4882551649  0.486577331  0.484899498  0.4832216642  0.481543831
  [8,]  0.4862976924  0.484340220  0.482382747  0.4804252749  0.478467802
  [9,]  0.4843402199  0.482103108  0.479865997  0.4776288856  0.475391774
 [10,]  0.4823827474  0.479865997  0.477349247  0.4748324963  0.472315746
 [11,]  0.4804252749  0.477628886  0.474832496  0.4720361070  0.469239718
 [12,]  0.4784678024  0.475391774  0.472315746  0.4692397177  0.466163689
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 [53,]  -3.818743638 -3.833285e+00  -3.847826087
 [54,]  -3.901796400 -3.916617e+00  -3.931438127
 [55,]  -3.984849163 -3.999950e+00  -4.015050167
 [56,]  -4.067901925 -4.083282e+00  -4.098662207
 [57,]  -4.150954687 -4.166614e+00  -4.182274247
 [58,]  -4.234007450 -4.249947e+00  -4.265886288
 [59,]  -4.317060212 -4.333279e+00  -4.349498328
 [60,]  -4.400112974 -4.416612e+00  -4.433110368
 [61,]  -4.483165736 -4.499944e+00  -4.516722408
 [62,]  -4.566218499 -4.583276e+00  -4.600334448
 [63,]  -4.649271261 -4.666609e+00  -4.683946488
 [64,]  -4.732324023 -4.749941e+00  -4.767558528
 [65,]  -4.815376785 -4.833274e+00  -4.851170569
 [66,]  -4.898429548 -4.916606e+00  -4.934782609
 [67,]  -4.981482310 -4.999938e+00  -5.018394649
 [68,]  -5.064535072 -5.083271e+00  -5.102006689
 [69,]  -5.147587835 -5.166603e+00  -5.185618729
 [70,]  -5.230640597 -5.249936e+00  -5.269230769
 [71,]  -5.313693359 -5.333268e+00  -5.352842809
 [72,]  -5.396746121 -5.416600e+00  -5.436454849
 [73,]  -5.479798884 -5.499933e+00  -5.520066890
 [74,]  -5.562851646 -5.583265e+00  -5.603678930
 [75,]  -5.645904408 -5.666598e+00  -5.687290970
 [76,]  -5.728957170 -5.749930e+00  -5.770903010
 [77,]  -5.812009933 -5.833262e+00  -5.854515050
 [78,]  -5.895062695 -5.916595e+00  -5.938127090
 [79,]  -5.978115457 -5.999927e+00  -6.021739130
 [80,]  -6.061168220 -6.083260e+00  -6.105351171
 [81,]  -6.144220982 -6.166592e+00  -6.188963211
 [82,]  -6.227273744 -6.249924e+00  -6.272575251
 [83,]  -6.310326506 -6.333257e+00  -6.356187291
 [84,]  -6.393379269 -6.416589e+00  -6.439799331
 [85,]  -6.476432031 -6.499922e+00  -6.523411371
 [86,]  -6.559484793 -6.583254e+00  -6.607023411
 [87,]  -6.642537555 -6.666587e+00  -6.690635451
 [88,]  -6.725590318 -6.749919e+00  -6.774247492
 [89,]  -6.808643080 -6.833251e+00  -6.857859532
 [90,]  -6.891695842 -6.916584e+00  -6.941471572
 [91,]  -6.974748605 -6.999916e+00  -7.025083612
 [92,]  -7.057801367 -7.083249e+00  -7.108695652
 [93,]  -7.140854129 -7.166581e+00  -7.192307692
 [94,]  -7.223906891 -7.249913e+00  -7.275919732
 [95,]  -7.306959654 -7.333246e+00  -7.359531773
 [96,]  -7.390012416 -7.416578e+00  -7.443143813
 [97,]  -7.473065178 -7.499911e+00  -7.526755853
 [98,]  -7.556117941 -7.583243e+00  -7.610367893
 [99,]  -7.639170703 -7.666575e+00  -7.693979933
[100,]  -7.722223465 -7.749908e+00  -7.777591973
[101,]  -7.805276227 -7.833240e+00  -7.861204013
[102,]  -7.888328990 -7.916573e+00  -7.944816053
[103,]  -7.971381752 -7.999905e+00  -8.028428094
[104,]  -8.054434514 -8.083237e+00  -8.112040134
[105,]  -8.137487276 -8.166570e+00  -8.195652174
[106,]  -8.220540039 -8.249902e+00  -8.279264214
[107,]  -8.303592801 -8.333235e+00  -8.362876254
[108,]  -8.386645563 -8.416567e+00  -8.446488294
[109,]  -8.469698326 -8.499899e+00  -8.530100334
[110,]  -8.552751088 -8.583232e+00  -8.613712375
[111,]  -8.635803850 -8.666564e+00  -8.697324415
[112,]  -8.718856612 -8.749897e+00  -8.780936455
[113,]  -8.801909375 -8.833229e+00  -8.864548495
[114,]  -8.884962137 -8.916561e+00  -8.948160535
[115,]  -8.968014899 -8.999894e+00  -9.031772575
[116,]  -9.051067661 -9.083226e+00  -9.115384615
[117,]  -9.134120424 -9.166559e+00  -9.198996656
[118,]  -9.217173186 -9.249891e+00  -9.282608696
[119,]  -9.300225948 -9.333223e+00  -9.366220736
[120,]  -9.383278711 -9.416556e+00  -9.449832776
[121,]  -9.466331473 -9.499888e+00  -9.533444816
[122,]  -9.549384235 -9.583221e+00  -9.617056856
[123,]  -9.632436997 -9.666553e+00  -9.700668896
[124,]  -9.715489760 -9.749885e+00  -9.784280936
[125,]  -9.798542522 -9.833218e+00  -9.867892977
[126,]  -9.881595284 -9.916550e+00  -9.951505017
[127,]  -9.964648046 -9.999883e+00 -10.035117057
[128,] -10.047700809 -1.008321e+01 -10.118729097
[129,] -10.130753571 -1.016655e+01 -10.202341137
[130,] -10.213806333 -1.024988e+01 -10.285953177
[131,] -10.296859096 -1.033321e+01 -10.369565217
[132,] -10.379911858 -1.041654e+01 -10.453177258
[133,] -10.462964620 -1.049988e+01 -10.536789298
[134,] -10.546017382 -1.058321e+01 -10.620401338
[135,] -10.629070145 -1.066654e+01 -10.704013378
[136,] -10.712122907 -1.074987e+01 -10.787625418
[137,] -10.795175669 -1.083321e+01 -10.871237458
[138,] -10.878228431 -1.091654e+01 -10.954849498
[139,] -10.961281194 -1.099987e+01 -11.038461538
[140,] -11.044333956 -1.108320e+01 -11.122073579
[141,] -11.127386718 -1.116654e+01 -11.205685619
[142,] -11.210439481 -1.124987e+01 -11.289297659
[143,] -11.293492243 -1.133320e+01 -11.372909699
[144,] -11.376545005 -1.141653e+01 -11.456521739
[145,] -11.459597767 -1.149987e+01 -11.540133779
[146,] -11.542650530 -1.158320e+01 -11.623745819
[147,] -11.625703292 -1.166653e+01 -11.707357860
[148,] -11.708756054 -1.174986e+01 -11.790969900
[149,] -11.791808816 -1.183320e+01 -11.874581940
[150,] -11.874861579 -1.191653e+01 -11.958193980
[151,] -11.957914341 -1.199986e+01 -12.041806020
[152,] -12.040967103 -1.208319e+01 -12.125418060
[153,] -12.124019866 -1.216652e+01 -12.209030100
[154,] -12.207072628 -1.224986e+01 -12.292642140
[155,] -12.290125390 -1.233319e+01 -12.376254181
[156,] -12.373178152 -1.241652e+01 -12.459866221
[157,] -12.456230915 -1.249985e+01 -12.543478261
[158,] -12.539283677 -1.258319e+01 -12.627090301
[159,] -12.622336439 -1.266652e+01 -12.710702341
[160,] -12.705389201 -1.274985e+01 -12.794314381
[161,] -12.788441964 -1.283318e+01 -12.877926421
[162,] -12.871494726 -1.291652e+01 -12.961538462
[163,] -12.954547488 -1.299985e+01 -13.045150502
[164,] -13.037600251 -1.308318e+01 -13.128762542
[165,] -13.120653013 -1.316651e+01 -13.212374582
[166,] -13.203705775 -1.324985e+01 -13.295986622
[167,] -13.286758537 -1.333318e+01 -13.379598662
[168,] -13.369811300 -1.341651e+01 -13.463210702
[169,] -13.452864062 -1.349984e+01 -13.546822742
[170,] -13.535916824 -1.358318e+01 -13.630434783
[171,] -13.618969586 -1.366651e+01 -13.714046823
[172,] -13.702022349 -1.374984e+01 -13.797658863
[173,] -13.785075111 -1.383317e+01 -13.881270903
[174,] -13.868127873 -1.391651e+01 -13.964882943
[175,] -13.951180636 -1.399984e+01 -14.048494983
[176,] -14.034233398 -1.408317e+01 -14.132107023
[177,] -14.117286160 -1.416650e+01 -14.215719064
[178,] -14.200338922 -1.424984e+01 -14.299331104
[179,] -14.283391685 -1.433317e+01 -14.382943144
[180,] -14.366444447 -1.441650e+01 -14.466555184
[181,] -14.449497209 -1.449983e+01 -14.550167224
[182,] -14.532549971 -1.458316e+01 -14.633779264
[183,] -14.615602734 -1.466650e+01 -14.717391304
[184,] -14.698655496 -1.474983e+01 -14.801003344
[185,] -14.781708258 -1.483316e+01 -14.884615385
[186,] -14.864761021 -1.491649e+01 -14.968227425
[187,] -14.947813783 -1.499983e+01 -15.051839465
[188,] -15.030866545 -1.508316e+01 -15.135451505
[189,] -15.113919307 -1.516649e+01 -15.219063545
[190,] -15.196972070 -1.524982e+01 -15.302675585
[191,] -15.280024832 -1.533316e+01 -15.386287625
[192,] -15.363077594 -1.541649e+01 -15.469899666
[193,] -15.446130356 -1.549982e+01 -15.553511706
[194,] -15.529183119 -1.558315e+01 -15.637123746
[195,] -15.612235881 -1.566649e+01 -15.720735786
[196,] -15.695288643 -1.574982e+01 -15.804347826
[197,] -15.778341406 -1.583315e+01 -15.887959866
[198,] -15.861394168 -1.591648e+01 -15.971571906
[199,] -15.944446930 -1.599982e+01 -16.055183946
[200,] -16.027499692 -1.608315e+01 -16.138795987
[201,] -16.110552455 -1.616648e+01 -16.222408027
[202,] -16.193605217 -1.624981e+01 -16.306020067
[203,] -16.276657979 -1.633315e+01 -16.389632107
[204,] -16.359710741 -1.641648e+01 -16.473244147
[205,] -16.442763504 -1.649981e+01 -16.556856187
[206,] -16.525816266 -1.658314e+01 -16.640468227
[207,] -16.608869028 -1.666647e+01 -16.724080268
[208,] -16.691921791 -1.674981e+01 -16.807692308
[209,] -16.774974553 -1.683314e+01 -16.891304348
[210,] -16.858027315 -1.691647e+01 -16.974916388
[211,] -16.941080077 -1.699980e+01 -17.058528428
[212,] -17.024132840 -1.708314e+01 -17.142140468
[213,] -17.107185602 -1.716647e+01 -17.225752508
[214,] -17.190238364 -1.724980e+01 -17.309364548
[215,] -17.273291126 -1.733313e+01 -17.392976589
[216,] -17.356343889 -1.741647e+01 -17.476588629
[217,] -17.439396651 -1.749980e+01 -17.560200669
[218,] -17.522449413 -1.758313e+01 -17.643812709
[219,] -17.605502176 -1.766646e+01 -17.727424749
[220,] -17.688554938 -1.774980e+01 -17.811036789
[221,] -17.771607700 -1.783313e+01 -17.894648829
[222,] -17.854660462 -1.791646e+01 -17.978260870
[223,] -17.937713225 -1.799979e+01 -18.061872910
[224,] -18.020765987 -1.808313e+01 -18.145484950
[225,] -18.103818749 -1.816646e+01 -18.229096990
[226,] -18.186871511 -1.824979e+01 -18.312709030
[227,] -18.269924274 -1.833312e+01 -18.396321070
[228,] -18.352977036 -1.841646e+01 -18.479933110
[229,] -18.436029798 -1.849979e+01 -18.563545150
[230,] -18.519082561 -1.858312e+01 -18.647157191
[231,] -18.602135323 -1.866645e+01 -18.730769231
[232,] -18.685188085 -1.874978e+01 -18.814381271
[233,] -18.768240847 -1.883312e+01 -18.897993311
[234,] -18.851293610 -1.891645e+01 -18.981605351
[235,] -18.934346372 -1.899978e+01 -19.065217391
[236,] -19.017399134 -1.908311e+01 -19.148829431
[237,] -19.100451896 -1.916645e+01 -19.232441472
[238,] -19.183504659 -1.924978e+01 -19.316053512
[239,] -19.266557421 -1.933311e+01 -19.399665552
[240,] -19.349610183 -1.941644e+01 -19.483277592
[241,] -19.432662946 -1.949978e+01 -19.566889632
[242,] -19.515715708 -1.958311e+01 -19.650501672
[243,] -19.598768470 -1.966644e+01 -19.734113712
[244,] -19.681821232 -1.974977e+01 -19.817725752
[245,] -19.764873995 -1.983311e+01 -19.901337793
[246,] -19.847926757 -1.991644e+01 -19.984949833
[247,] -19.930979519 -1.999977e+01 -20.068561873
[248,] -20.014032282 -2.008310e+01 -20.152173913
[249,] -20.097085044 -2.016644e+01 -20.235785953
[250,] -20.180137806 -2.024977e+01 -20.319397993
[251,] -20.263190568 -2.033310e+01 -20.403010033
[252,] -20.346243331 -2.041643e+01 -20.486622074
[253,] -20.429296093 -2.049977e+01 -20.570234114
[254,] -20.512348855 -2.058310e+01 -20.653846154
[255,] -20.595401617 -2.066643e+01 -20.737458194
[256,] -20.678454380 -2.074976e+01 -20.821070234
[257,] -20.761507142 -2.083309e+01 -20.904682274
[258,] -20.844559904 -2.091643e+01 -20.988294314
[259,] -20.927612667 -2.099976e+01 -21.071906355
[260,] -21.010665429 -2.108309e+01 -21.155518395
[261,] -21.093718191 -2.116642e+01 -21.239130435
[262,] -21.176770953 -2.124976e+01 -21.322742475
[263,] -21.259823716 -2.133309e+01 -21.406354515
[264,] -21.342876478 -2.141642e+01 -21.489966555
[265,] -21.425929240 -2.149975e+01 -21.573578595
[266,] -21.508982002 -2.158309e+01 -21.657190635
[267,] -21.592034765 -2.166642e+01 -21.740802676
[268,] -21.675087527 -2.174975e+01 -21.824414716
[269,] -21.758140289 -2.183308e+01 -21.908026756
[270,] -21.841193052 -2.191642e+01 -21.991638796
[271,] -21.924245814 -2.199975e+01 -22.075250836
[272,] -22.007298576 -2.208308e+01 -22.158862876
[273,] -22.090351338 -2.216641e+01 -22.242474916
[274,] -22.173404101 -2.224975e+01 -22.326086957
[275,] -22.256456863 -2.233308e+01 -22.409698997
[276,] -22.339509625 -2.241641e+01 -22.493311037
[277,] -22.422562387 -2.249974e+01 -22.576923077
[278,] -22.505615150 -2.258308e+01 -22.660535117
[279,] -22.588667912 -2.266641e+01 -22.744147157
[280,] -22.671720674 -2.274974e+01 -22.827759197
[281,] -22.754773437 -2.283307e+01 -22.911371237
[282,] -22.837826199 -2.291640e+01 -22.994983278
[283,] -22.920878961 -2.299974e+01 -23.078595318
[284,] -23.003931723 -2.308307e+01 -23.162207358
[285,] -23.086984486 -2.316640e+01 -23.245819398
[286,] -23.170037248 -2.324973e+01 -23.329431438
[287,] -23.253090010 -2.333307e+01 -23.413043478
[288,] -23.336142772 -2.341640e+01 -23.496655518
[289,] -23.419195535 -2.349973e+01 -23.580267559
[290,] -23.502248297 -2.358306e+01 -23.663879599
[291,] -23.585301059 -2.366640e+01 -23.747491639
[292,] -23.668353822 -2.374973e+01 -23.831103679
[293,] -23.751406584 -2.383306e+01 -23.914715719
[294,] -23.834459346 -2.391639e+01 -23.998327759
[295,] -23.917512108 -2.399973e+01 -24.081939799
[296,] -24.000564871 -2.408306e+01 -24.165551839
[297,] -24.083617633 -2.416639e+01 -24.249163880
[298,] -24.166670395 -2.424972e+01 -24.332775920
[299,] -24.249723157 -2.433306e+01 -24.416387960
[300,] -24.332775920 -2.441639e+01 -24.500000000

$dy
               [,1]          [,2]          [,3]         [,4]          [,5]
  [1,] 0.0000000000 -0.0167224080 -0.0334448161 -0.050167224 -6.688963e-02
  [2,] 0.0002795608 -0.0164428473 -0.0331652553 -0.049887663 -6.661007e-02
  [3,] 0.0011173060 -0.0156051021 -0.0323275101 -0.049049918 -6.577233e-02
  [4,] 0.0025104322 -0.0142119758 -0.0309343838 -0.047656792 -6.437920e-02
  [5,] 0.0044542934 -0.0122681146 -0.0289905227 -0.045712931 -6.243534e-02
  [6,] 0.0069424389 -0.0097799692 -0.0265023772 -0.043224785 -5.994719e-02
  [7,] 0.0099666670 -0.0067557410 -0.0234781490 -0.040200557 -5.692297e-02
  [8,] 0.0135170922 -0.0032053158 -0.0199277238 -0.036650132 -5.337254e-02
  [9,] 0.0175822244  0.0008598163 -0.0158625917 -0.032585000 -4.930741e-02
 [10,] 0.0221490604  0.0054266524 -0.0112957556 -0.028018164 -4.474057e-02
 [11,] 0.0272031860  0.0104807780 -0.0062416300 -0.022964038 -3.968645e-02
 [12,] 0.0327288858  0.0160064778 -0.0007159302 -0.017438338 -3.416075e-02
 [13,] 0.0387092612  0.0219868532  0.0052644451 -0.011457963 -2.818037e-02
 [14,] 0.0451263538  0.0284039458  0.0116815377 -0.005040870 -2.176328e-02
 [15,] 0.0519612729  0.0352388649  0.0185164569  0.001794049 -1.492836e-02
 [16,] 0.0591943258  0.0424719177  0.0257495097  0.009027102 -7.695306e-03
 [17,] 0.0668051482  0.0500827401  0.0333603321  0.016637924 -8.448394e-05
 [18,] 0.0747728355  0.0580504274  0.0413280194  0.024605611  7.883203e-03
 [19,] 0.0830760710  0.0663536630  0.0496312550  0.032908847  1.618644e-02
 [20,] 0.0916932518  0.0749708438  0.0582484357  0.041526028  2.480362e-02
 [21,] 0.1006026096  0.0838802016  0.0671577936  0.050435386  3.371298e-02
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$parameters
 wrażliwość wydzielanie  degradacja        beta 
          1           1           1           1 

$points
[1] 300

$system
[1] "two.dim"

$x
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  [7] 0.10033445 0.11705686 0.13377926 0.15050167 0.16722408 0.18394649
 [13] 0.20066890 0.21739130 0.23411371 0.25083612 0.26755853 0.28428094
 [19] 0.30100334 0.31772575 0.33444816 0.35117057 0.36789298 0.38461538
 [25] 0.40133779 0.41806020 0.43478261 0.45150502 0.46822742 0.48494983
 [31] 0.50167224 0.51839465 0.53511706 0.55183946 0.56856187 0.58528428
 [37] 0.60200669 0.61872910 0.63545151 0.65217391 0.66889632 0.68561873
 [43] 0.70234114 0.71906355 0.73578595 0.75250836 0.76923077 0.78595318
 [49] 0.80267559 0.81939799 0.83612040 0.85284281 0.86956522 0.88628763
 [55] 0.90301003 0.91973244 0.93645485 0.95317726 0.96989967 0.98662207
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[109] 1.80602007 1.82274247 1.83946488 1.85618729 1.87290970 1.88963211
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[235] 3.91304348 3.92976589 3.94648829 3.96321070 3.97993311 3.99665552
[241] 4.01337793 4.03010033 4.04682274 4.06354515 4.08026756 4.09698997
[247] 4.11371237 4.13043478 4.14715719 4.16387960 4.18060201 4.19732441
[253] 4.21404682 4.23076923 4.24749164 4.26421405 4.28093645 4.29765886
[259] 4.31438127 4.33110368 4.34782609 4.36454849 4.38127090 4.39799331
[265] 4.41471572 4.43143813 4.44816054 4.46488294 4.48160535 4.49832776
[271] 4.51505017 4.53177258 4.54849498 4.56521739 4.58193980 4.59866221
[277] 4.61538462 4.63210702 4.64882943 4.66555184 4.68227425 4.69899666
[283] 4.71571906 4.73244147 4.74916388 4.76588629 4.78260870 4.79933110
[289] 4.81605351 4.83277592 4.84949833 4.86622074 4.88294314 4.89966555
[295] 4.91638796 4.93311037 4.94983278 4.96655518 4.98327759 5.00000000

$xlim
[1] 0 5

$y
  [1] 0.00000000 0.01672241 0.03344482 0.05016722 0.06688963 0.08361204
  [7] 0.10033445 0.11705686 0.13377926 0.15050167 0.16722408 0.18394649
 [13] 0.20066890 0.21739130 0.23411371 0.25083612 0.26755853 0.28428094
 [19] 0.30100334 0.31772575 0.33444816 0.35117057 0.36789298 0.38461538
 [25] 0.40133779 0.41806020 0.43478261 0.45150502 0.46822742 0.48494983
 [31] 0.50167224 0.51839465 0.53511706 0.55183946 0.56856187 0.58528428
 [37] 0.60200669 0.61872910 0.63545151 0.65217391 0.66889632 0.68561873
 [43] 0.70234114 0.71906355 0.73578595 0.75250836 0.76923077 0.78595318
 [49] 0.80267559 0.81939799 0.83612040 0.85284281 0.86956522 0.88628763
 [55] 0.90301003 0.91973244 0.93645485 0.95317726 0.96989967 0.98662207
 [61] 1.00334448 1.02006689 1.03678930 1.05351171 1.07023411 1.08695652
 [67] 1.10367893 1.12040134 1.13712375 1.15384615 1.17056856 1.18729097
 [73] 1.20401338 1.22073579 1.23745819 1.25418060 1.27090301 1.28762542
 [79] 1.30434783 1.32107023 1.33779264 1.35451505 1.37123746 1.38795987
 [85] 1.40468227 1.42140468 1.43812709 1.45484950 1.47157191 1.48829431
 [91] 1.50501672 1.52173913 1.53846154 1.55518395 1.57190635 1.58862876
 [97] 1.60535117 1.62207358 1.63879599 1.65551839 1.67224080 1.68896321
[103] 1.70568562 1.72240803 1.73913043 1.75585284 1.77257525 1.78929766
[109] 1.80602007 1.82274247 1.83946488 1.85618729 1.87290970 1.88963211
[115] 1.90635452 1.92307692 1.93979933 1.95652174 1.97324415 1.98996656
[121] 2.00668896 2.02341137 2.04013378 2.05685619 2.07357860 2.09030100
[127] 2.10702341 2.12374582 2.14046823 2.15719064 2.17391304 2.19063545
[133] 2.20735786 2.22408027 2.24080268 2.25752508 2.27424749 2.29096990
[139] 2.30769231 2.32441472 2.34113712 2.35785953 2.37458194 2.39130435
[145] 2.40802676 2.42474916 2.44147157 2.45819398 2.47491639 2.49163880
[151] 2.50836120 2.52508361 2.54180602 2.55852843 2.57525084 2.59197324
[157] 2.60869565 2.62541806 2.64214047 2.65886288 2.67558528 2.69230769
[163] 2.70903010 2.72575251 2.74247492 2.75919732 2.77591973 2.79264214
[169] 2.80936455 2.82608696 2.84280936 2.85953177 2.87625418 2.89297659
[175] 2.90969900 2.92642140 2.94314381 2.95986622 2.97658863 2.99331104
[181] 3.01003344 3.02675585 3.04347826 3.06020067 3.07692308 3.09364548
[187] 3.11036789 3.12709030 3.14381271 3.16053512 3.17725753 3.19397993
[193] 3.21070234 3.22742475 3.24414716 3.26086957 3.27759197 3.29431438
[199] 3.31103679 3.32775920 3.34448161 3.36120401 3.37792642 3.39464883
[205] 3.41137124 3.42809365 3.44481605 3.46153846 3.47826087 3.49498328
[211] 3.51170569 3.52842809 3.54515050 3.56187291 3.57859532 3.59531773
[217] 3.61204013 3.62876254 3.64548495 3.66220736 3.67892977 3.69565217
[223] 3.71237458 3.72909699 3.74581940 3.76254181 3.77926421 3.79598662
[229] 3.81270903 3.82943144 3.84615385 3.86287625 3.87959866 3.89632107
[235] 3.91304348 3.92976589 3.94648829 3.96321070 3.97993311 3.99665552
[241] 4.01337793 4.03010033 4.04682274 4.06354515 4.08026756 4.09698997
[247] 4.11371237 4.13043478 4.14715719 4.16387960 4.18060201 4.19732441
[253] 4.21404682 4.23076923 4.24749164 4.26421405 4.28093645 4.29765886
[259] 4.31438127 4.33110368 4.34782609 4.36454849 4.38127090 4.39799331
[265] 4.41471572 4.43143813 4.44816054 4.46488294 4.48160535 4.49832776
[271] 4.51505017 4.53177258 4.54849498 4.56521739 4.58193980 4.59866221
[277] 4.61538462 4.63210702 4.64882943 4.66555184 4.68227425 4.69899666
[283] 4.71571906 4.73244147 4.74916388 4.76588629 4.78260870 4.79933110
[289] 4.81605351 4.83277592 4.84949833 4.86622074 4.88294314 4.89966555
[295] 4.91638796 4.93311037 4.94983278 4.96655518 4.98327759 5.00000000

$ylim
[1] 0 5

war_pocz_faza <- matrix(c(1,1, 2,2, 3,1, 0.5, 3, 4,0.5), ncol=2, byrow=TRUE)
trajectory(model_metabolizmu, 
           y0 = war_pocz_faza, 
           tlim = c(0, 20), 
           parameters = param_zdrowy)

Note: col has been reset as required

$add
[1] TRUE

$col
[1] "black" "black" "black" "black" "black"

$deriv
<srcref: file "" chars 10:22 to 23:1>
<bytecode: 0x000002165d2bcf90>

$n
NULL

$method
[1] "ode45"

$parameters
 wrażliwość wydzielanie  degradacja        beta 
          1           1           1           1 

$system
[1] "two.dim"

$t
   [1]  0.00  0.01  0.02  0.03  0.04  0.05  0.06  0.07  0.08  0.09  0.10  0.11
  [13]  0.12  0.13  0.14  0.15  0.16  0.17  0.18  0.19  0.20  0.21  0.22  0.23
  [25]  0.24  0.25  0.26  0.27  0.28  0.29  0.30  0.31  0.32  0.33  0.34  0.35
  [37]  0.36  0.37  0.38  0.39  0.40  0.41  0.42  0.43  0.44  0.45  0.46  0.47
  [49]  0.48  0.49  0.50  0.51  0.52  0.53  0.54  0.55  0.56  0.57  0.58  0.59
  [61]  0.60  0.61  0.62  0.63  0.64  0.65  0.66  0.67  0.68  0.69  0.70  0.71
  [73]  0.72  0.73  0.74  0.75  0.76  0.77  0.78  0.79  0.80  0.81  0.82  0.83
  [85]  0.84  0.85  0.86  0.87  0.88  0.89  0.90  0.91  0.92  0.93  0.94  0.95
  [97]  0.96  0.97  0.98  0.99  1.00  1.01  1.02  1.03  1.04  1.05  1.06  1.07
 [109]  1.08  1.09  1.10  1.11  1.12  1.13  1.14  1.15  1.16  1.17  1.18  1.19
 [121]  1.20  1.21  1.22  1.23  1.24  1.25  1.26  1.27  1.28  1.29  1.30  1.31
 [133]  1.32  1.33  1.34  1.35  1.36  1.37  1.38  1.39  1.40  1.41  1.42  1.43
 [145]  1.44  1.45  1.46  1.47  1.48  1.49  1.50  1.51  1.52  1.53  1.54  1.55
 [157]  1.56  1.57  1.58  1.59  1.60  1.61  1.62  1.63  1.64  1.65  1.66  1.67
 [169]  1.68  1.69  1.70  1.71  1.72  1.73  1.74  1.75  1.76  1.77  1.78  1.79
 [181]  1.80  1.81  1.82  1.83  1.84  1.85  1.86  1.87  1.88  1.89  1.90  1.91
 [193]  1.92  1.93  1.94  1.95  1.96  1.97  1.98  1.99  2.00  2.01  2.02  2.03
 [205]  2.04  2.05  2.06  2.07  2.08  2.09  2.10  2.11  2.12  2.13  2.14  2.15
 [217]  2.16  2.17  2.18  2.19  2.20  2.21  2.22  2.23  2.24  2.25  2.26  2.27
 [229]  2.28  2.29  2.30  2.31  2.32  2.33  2.34  2.35  2.36  2.37  2.38  2.39
 [241]  2.40  2.41  2.42  2.43  2.44  2.45  2.46  2.47  2.48  2.49  2.50  2.51
 [253]  2.52  2.53  2.54  2.55  2.56  2.57  2.58  2.59  2.60  2.61  2.62  2.63
 [265]  2.64  2.65  2.66  2.67  2.68  2.69  2.70  2.71  2.72  2.73  2.74  2.75
 [277]  2.76  2.77  2.78  2.79  2.80  2.81  2.82  2.83  2.84  2.85  2.86  2.87
 [289]  2.88  2.89  2.90  2.91  2.92  2.93  2.94  2.95  2.96  2.97  2.98  2.99
 [301]  3.00  3.01  3.02  3.03  3.04  3.05  3.06  3.07  3.08  3.09  3.10  3.11
 [313]  3.12  3.13  3.14  3.15  3.16  3.17  3.18  3.19  3.20  3.21  3.22  3.23
 [325]  3.24  3.25  3.26  3.27  3.28  3.29  3.30  3.31  3.32  3.33  3.34  3.35
 [337]  3.36  3.37  3.38  3.39  3.40  3.41  3.42  3.43  3.44  3.45  3.46  3.47
 [349]  3.48  3.49  3.50  3.51  3.52  3.53  3.54  3.55  3.56  3.57  3.58  3.59
 [361]  3.60  3.61  3.62  3.63  3.64  3.65  3.66  3.67  3.68  3.69  3.70  3.71
 [373]  3.72  3.73  3.74  3.75  3.76  3.77  3.78  3.79  3.80  3.81  3.82  3.83
 [385]  3.84  3.85  3.86  3.87  3.88  3.89  3.90  3.91  3.92  3.93  3.94  3.95
 [397]  3.96  3.97  3.98  3.99  4.00  4.01  4.02  4.03  4.04  4.05  4.06  4.07
 [409]  4.08  4.09  4.10  4.11  4.12  4.13  4.14  4.15  4.16  4.17  4.18  4.19
 [421]  4.20  4.21  4.22  4.23  4.24  4.25  4.26  4.27  4.28  4.29  4.30  4.31
 [433]  4.32  4.33  4.34  4.35  4.36  4.37  4.38  4.39  4.40  4.41  4.42  4.43
 [445]  4.44  4.45  4.46  4.47  4.48  4.49  4.50  4.51  4.52  4.53  4.54  4.55
 [457]  4.56  4.57  4.58  4.59  4.60  4.61  4.62  4.63  4.64  4.65  4.66  4.67
 [469]  4.68  4.69  4.70  4.71  4.72  4.73  4.74  4.75  4.76  4.77  4.78  4.79
 [481]  4.80  4.81  4.82  4.83  4.84  4.85  4.86  4.87  4.88  4.89  4.90  4.91
 [493]  4.92  4.93  4.94  4.95  4.96  4.97  4.98  4.99  5.00  5.01  5.02  5.03
 [505]  5.04  5.05  5.06  5.07  5.08  5.09  5.10  5.11  5.12  5.13  5.14  5.15
 [517]  5.16  5.17  5.18  5.19  5.20  5.21  5.22  5.23  5.24  5.25  5.26  5.27
 [529]  5.28  5.29  5.30  5.31  5.32  5.33  5.34  5.35  5.36  5.37  5.38  5.39
 [541]  5.40  5.41  5.42  5.43  5.44  5.45  5.46  5.47  5.48  5.49  5.50  5.51
 [553]  5.52  5.53  5.54  5.55  5.56  5.57  5.58  5.59  5.60  5.61  5.62  5.63
 [565]  5.64  5.65  5.66  5.67  5.68  5.69  5.70  5.71  5.72  5.73  5.74  5.75
 [577]  5.76  5.77  5.78  5.79  5.80  5.81  5.82  5.83  5.84  5.85  5.86  5.87
 [589]  5.88  5.89  5.90  5.91  5.92  5.93  5.94  5.95  5.96  5.97  5.98  5.99
 [601]  6.00  6.01  6.02  6.03  6.04  6.05  6.06  6.07  6.08  6.09  6.10  6.11
 [613]  6.12  6.13  6.14  6.15  6.16  6.17  6.18  6.19  6.20  6.21  6.22  6.23
 [625]  6.24  6.25  6.26  6.27  6.28  6.29  6.30  6.31  6.32  6.33  6.34  6.35
 [637]  6.36  6.37  6.38  6.39  6.40  6.41  6.42  6.43  6.44  6.45  6.46  6.47
 [649]  6.48  6.49  6.50  6.51  6.52  6.53  6.54  6.55  6.56  6.57  6.58  6.59
 [661]  6.60  6.61  6.62  6.63  6.64  6.65  6.66  6.67  6.68  6.69  6.70  6.71
 [673]  6.72  6.73  6.74  6.75  6.76  6.77  6.78  6.79  6.80  6.81  6.82  6.83
 [685]  6.84  6.85  6.86  6.87  6.88  6.89  6.90  6.91  6.92  6.93  6.94  6.95
 [697]  6.96  6.97  6.98  6.99  7.00  7.01  7.02  7.03  7.04  7.05  7.06  7.07
 [709]  7.08  7.09  7.10  7.11  7.12  7.13  7.14  7.15  7.16  7.17  7.18  7.19
 [721]  7.20  7.21  7.22  7.23  7.24  7.25  7.26  7.27  7.28  7.29  7.30  7.31
 [733]  7.32  7.33  7.34  7.35  7.36  7.37  7.38  7.39  7.40  7.41  7.42  7.43
 [745]  7.44  7.45  7.46  7.47  7.48  7.49  7.50  7.51  7.52  7.53  7.54  7.55
 [757]  7.56  7.57  7.58  7.59  7.60  7.61  7.62  7.63  7.64  7.65  7.66  7.67
 [769]  7.68  7.69  7.70  7.71  7.72  7.73  7.74  7.75  7.76  7.77  7.78  7.79
 [781]  7.80  7.81  7.82  7.83  7.84  7.85  7.86  7.87  7.88  7.89  7.90  7.91
 [793]  7.92  7.93  7.94  7.95  7.96  7.97  7.98  7.99  8.00  8.01  8.02  8.03
 [805]  8.04  8.05  8.06  8.07  8.08  8.09  8.10  8.11  8.12  8.13  8.14  8.15
 [817]  8.16  8.17  8.18  8.19  8.20  8.21  8.22  8.23  8.24  8.25  8.26  8.27
 [829]  8.28  8.29  8.30  8.31  8.32  8.33  8.34  8.35  8.36  8.37  8.38  8.39
 [841]  8.40  8.41  8.42  8.43  8.44  8.45  8.46  8.47  8.48  8.49  8.50  8.51
 [853]  8.52  8.53  8.54  8.55  8.56  8.57  8.58  8.59  8.60  8.61  8.62  8.63
 [865]  8.64  8.65  8.66  8.67  8.68  8.69  8.70  8.71  8.72  8.73  8.74  8.75
 [877]  8.76  8.77  8.78  8.79  8.80  8.81  8.82  8.83  8.84  8.85  8.86  8.87
 [889]  8.88  8.89  8.90  8.91  8.92  8.93  8.94  8.95  8.96  8.97  8.98  8.99
 [901]  9.00  9.01  9.02  9.03  9.04  9.05  9.06  9.07  9.08  9.09  9.10  9.11
 [913]  9.12  9.13  9.14  9.15  9.16  9.17  9.18  9.19  9.20  9.21  9.22  9.23
 [925]  9.24  9.25  9.26  9.27  9.28  9.29  9.30  9.31  9.32  9.33  9.34  9.35
 [937]  9.36  9.37  9.38  9.39  9.40  9.41  9.42  9.43  9.44  9.45  9.46  9.47
 [949]  9.48  9.49  9.50  9.51  9.52  9.53  9.54  9.55  9.56  9.57  9.58  9.59
 [961]  9.60  9.61  9.62  9.63  9.64  9.65  9.66  9.67  9.68  9.69  9.70  9.71
 [973]  9.72  9.73  9.74  9.75  9.76  9.77  9.78  9.79  9.80  9.81  9.82  9.83
 [985]  9.84  9.85  9.86  9.87  9.88  9.89  9.90  9.91  9.92  9.93  9.94  9.95
 [997]  9.96  9.97  9.98  9.99 10.00 10.01 10.02 10.03 10.04 10.05 10.06 10.07
[1009] 10.08 10.09 10.10 10.11 10.12 10.13 10.14 10.15 10.16 10.17 10.18 10.19
[1021] 10.20 10.21 10.22 10.23 10.24 10.25 10.26 10.27 10.28 10.29 10.30 10.31
[1033] 10.32 10.33 10.34 10.35 10.36 10.37 10.38 10.39 10.40 10.41 10.42 10.43
[1045] 10.44 10.45 10.46 10.47 10.48 10.49 10.50 10.51 10.52 10.53 10.54 10.55
[1057] 10.56 10.57 10.58 10.59 10.60 10.61 10.62 10.63 10.64 10.65 10.66 10.67
[1069] 10.68 10.69 10.70 10.71 10.72 10.73 10.74 10.75 10.76 10.77 10.78 10.79
[1081] 10.80 10.81 10.82 10.83 10.84 10.85 10.86 10.87 10.88 10.89 10.90 10.91
[1093] 10.92 10.93 10.94 10.95 10.96 10.97 10.98 10.99 11.00 11.01 11.02 11.03
[1105] 11.04 11.05 11.06 11.07 11.08 11.09 11.10 11.11 11.12 11.13 11.14 11.15
[1117] 11.16 11.17 11.18 11.19 11.20 11.21 11.22 11.23 11.24 11.25 11.26 11.27
[1129] 11.28 11.29 11.30 11.31 11.32 11.33 11.34 11.35 11.36 11.37 11.38 11.39
[1141] 11.40 11.41 11.42 11.43 11.44 11.45 11.46 11.47 11.48 11.49 11.50 11.51
[1153] 11.52 11.53 11.54 11.55 11.56 11.57 11.58 11.59 11.60 11.61 11.62 11.63
[1165] 11.64 11.65 11.66 11.67 11.68 11.69 11.70 11.71 11.72 11.73 11.74 11.75
[1177] 11.76 11.77 11.78 11.79 11.80 11.81 11.82 11.83 11.84 11.85 11.86 11.87
[1189] 11.88 11.89 11.90 11.91 11.92 11.93 11.94 11.95 11.96 11.97 11.98 11.99
[1201] 12.00 12.01 12.02 12.03 12.04 12.05 12.06 12.07 12.08 12.09 12.10 12.11
[1213] 12.12 12.13 12.14 12.15 12.16 12.17 12.18 12.19 12.20 12.21 12.22 12.23
[1225] 12.24 12.25 12.26 12.27 12.28 12.29 12.30 12.31 12.32 12.33 12.34 12.35
[1237] 12.36 12.37 12.38 12.39 12.40 12.41 12.42 12.43 12.44 12.45 12.46 12.47
[1249] 12.48 12.49 12.50 12.51 12.52 12.53 12.54 12.55 12.56 12.57 12.58 12.59
[1261] 12.60 12.61 12.62 12.63 12.64 12.65 12.66 12.67 12.68 12.69 12.70 12.71
[1273] 12.72 12.73 12.74 12.75 12.76 12.77 12.78 12.79 12.80 12.81 12.82 12.83
[1285] 12.84 12.85 12.86 12.87 12.88 12.89 12.90 12.91 12.92 12.93 12.94 12.95
[1297] 12.96 12.97 12.98 12.99 13.00 13.01 13.02 13.03 13.04 13.05 13.06 13.07
[1309] 13.08 13.09 13.10 13.11 13.12 13.13 13.14 13.15 13.16 13.17 13.18 13.19
[1321] 13.20 13.21 13.22 13.23 13.24 13.25 13.26 13.27 13.28 13.29 13.30 13.31
[1333] 13.32 13.33 13.34 13.35 13.36 13.37 13.38 13.39 13.40 13.41 13.42 13.43
[1345] 13.44 13.45 13.46 13.47 13.48 13.49 13.50 13.51 13.52 13.53 13.54 13.55
[1357] 13.56 13.57 13.58 13.59 13.60 13.61 13.62 13.63 13.64 13.65 13.66 13.67
[1369] 13.68 13.69 13.70 13.71 13.72 13.73 13.74 13.75 13.76 13.77 13.78 13.79
[1381] 13.80 13.81 13.82 13.83 13.84 13.85 13.86 13.87 13.88 13.89 13.90 13.91
[1393] 13.92 13.93 13.94 13.95 13.96 13.97 13.98 13.99 14.00 14.01 14.02 14.03
[1405] 14.04 14.05 14.06 14.07 14.08 14.09 14.10 14.11 14.12 14.13 14.14 14.15
[1417] 14.16 14.17 14.18 14.19 14.20 14.21 14.22 14.23 14.24 14.25 14.26 14.27
[1429] 14.28 14.29 14.30 14.31 14.32 14.33 14.34 14.35 14.36 14.37 14.38 14.39
[1441] 14.40 14.41 14.42 14.43 14.44 14.45 14.46 14.47 14.48 14.49 14.50 14.51
[1453] 14.52 14.53 14.54 14.55 14.56 14.57 14.58 14.59 14.60 14.61 14.62 14.63
[1465] 14.64 14.65 14.66 14.67 14.68 14.69 14.70 14.71 14.72 14.73 14.74 14.75
[1477] 14.76 14.77 14.78 14.79 14.80 14.81 14.82 14.83 14.84 14.85 14.86 14.87
[1489] 14.88 14.89 14.90 14.91 14.92 14.93 14.94 14.95 14.96 14.97 14.98 14.99
[1501] 15.00 15.01 15.02 15.03 15.04 15.05 15.06 15.07 15.08 15.09 15.10 15.11
[1513] 15.12 15.13 15.14 15.15 15.16 15.17 15.18 15.19 15.20 15.21 15.22 15.23
[1525] 15.24 15.25 15.26 15.27 15.28 15.29 15.30 15.31 15.32 15.33 15.34 15.35
[1537] 15.36 15.37 15.38 15.39 15.40 15.41 15.42 15.43 15.44 15.45 15.46 15.47
[1549] 15.48 15.49 15.50 15.51 15.52 15.53 15.54 15.55 15.56 15.57 15.58 15.59
[1561] 15.60 15.61 15.62 15.63 15.64 15.65 15.66 15.67 15.68 15.69 15.70 15.71
[1573] 15.72 15.73 15.74 15.75 15.76 15.77 15.78 15.79 15.80 15.81 15.82 15.83
[1585] 15.84 15.85 15.86 15.87 15.88 15.89 15.90 15.91 15.92 15.93 15.94 15.95
[1597] 15.96 15.97 15.98 15.99 16.00 16.01 16.02 16.03 16.04 16.05 16.06 16.07
[1609] 16.08 16.09 16.10 16.11 16.12 16.13 16.14 16.15 16.16 16.17 16.18 16.19
[1621] 16.20 16.21 16.22 16.23 16.24 16.25 16.26 16.27 16.28 16.29 16.30 16.31
[1633] 16.32 16.33 16.34 16.35 16.36 16.37 16.38 16.39 16.40 16.41 16.42 16.43
[1645] 16.44 16.45 16.46 16.47 16.48 16.49 16.50 16.51 16.52 16.53 16.54 16.55
[1657] 16.56 16.57 16.58 16.59 16.60 16.61 16.62 16.63 16.64 16.65 16.66 16.67
[1669] 16.68 16.69 16.70 16.71 16.72 16.73 16.74 16.75 16.76 16.77 16.78 16.79
[1681] 16.80 16.81 16.82 16.83 16.84 16.85 16.86 16.87 16.88 16.89 16.90 16.91
[1693] 16.92 16.93 16.94 16.95 16.96 16.97 16.98 16.99 17.00 17.01 17.02 17.03
[1705] 17.04 17.05 17.06 17.07 17.08 17.09 17.10 17.11 17.12 17.13 17.14 17.15
[1717] 17.16 17.17 17.18 17.19 17.20 17.21 17.22 17.23 17.24 17.25 17.26 17.27
[1729] 17.28 17.29 17.30 17.31 17.32 17.33 17.34 17.35 17.36 17.37 17.38 17.39
[1741] 17.40 17.41 17.42 17.43 17.44 17.45 17.46 17.47 17.48 17.49 17.50 17.51
[1753] 17.52 17.53 17.54 17.55 17.56 17.57 17.58 17.59 17.60 17.61 17.62 17.63
[1765] 17.64 17.65 17.66 17.67 17.68 17.69 17.70 17.71 17.72 17.73 17.74 17.75
[1777] 17.76 17.77 17.78 17.79 17.80 17.81 17.82 17.83 17.84 17.85 17.86 17.87
[1789] 17.88 17.89 17.90 17.91 17.92 17.93 17.94 17.95 17.96 17.97 17.98 17.99
[1801] 18.00 18.01 18.02 18.03 18.04 18.05 18.06 18.07 18.08 18.09 18.10 18.11
[1813] 18.12 18.13 18.14 18.15 18.16 18.17 18.18 18.19 18.20 18.21 18.22 18.23
[1825] 18.24 18.25 18.26 18.27 18.28 18.29 18.30 18.31 18.32 18.33 18.34 18.35
[1837] 18.36 18.37 18.38 18.39 18.40 18.41 18.42 18.43 18.44 18.45 18.46 18.47
[1849] 18.48 18.49 18.50 18.51 18.52 18.53 18.54 18.55 18.56 18.57 18.58 18.59
[1861] 18.60 18.61 18.62 18.63 18.64 18.65 18.66 18.67 18.68 18.69 18.70 18.71
[1873] 18.72 18.73 18.74 18.75 18.76 18.77 18.78 18.79 18.80 18.81 18.82 18.83
[1885] 18.84 18.85 18.86 18.87 18.88 18.89 18.90 18.91 18.92 18.93 18.94 18.95
[1897] 18.96 18.97 18.98 18.99 19.00 19.01 19.02 19.03 19.04 19.05 19.06 19.07
[1909] 19.08 19.09 19.10 19.11 19.12 19.13 19.14 19.15 19.16 19.17 19.18 19.19
[1921] 19.20 19.21 19.22 19.23 19.24 19.25 19.26 19.27 19.28 19.29 19.30 19.31
[1933] 19.32 19.33 19.34 19.35 19.36 19.37 19.38 19.39 19.40 19.41 19.42 19.43
[1945] 19.44 19.45 19.46 19.47 19.48 19.49 19.50 19.51 19.52 19.53 19.54 19.55
[1957] 19.56 19.57 19.58 19.59 19.60 19.61 19.62 19.63 19.64 19.65 19.66 19.67
[1969] 19.68 19.69 19.70 19.71 19.72 19.73 19.74 19.75 19.76 19.77 19.78 19.79
[1981] 19.80 19.81 19.82 19.83 19.84 19.85 19.86 19.87 19.88 19.89 19.90 19.91
[1993] 19.92 19.93 19.94 19.95 19.96 19.97 19.98 19.99 20.00

$tlim
[1]  0 20

$tstep
[1] 0.01

$x
             [,1]      [,2]      [,3]      [,4]      [,5]
   [1,] 1.0000000 2.0000000 3.0000000 0.5000000 4.0000000
   [2,] 0.9950497 1.9654653 2.9751395 0.4902167 3.9849499
   [3,] 0.9901977 1.9318427 2.9505558 0.4808542 3.9698020
   [4,] 0.9854422 1.8991051 2.9262460 0.4718939 3.9545602
   [5,] 0.9807817 1.8672266 2.9022068 0.4633184 3.9392279
   [6,] 0.9762144 1.8361817 2.8784354 0.4551111 3.9238088
   [7,] 0.9717388 1.8059463 2.8549287 0.4472562 3.9083066
   [8,] 0.9673534 1.7764967 2.8316838 0.4397386 3.8927246
   [9,] 0.9630564 1.7478102 2.8086978 0.4325441 3.8770664
  [10,] 0.9588466 1.7198649 2.7859678 0.4256591 3.8613354
  [11,] 0.9547223 1.6926394 2.7634909 0.4190706 3.8455350
  [12,] 0.9506821 1.6661133 2.7412645 0.4127663 3.8296686
  [13,] 0.9467247 1.6402666 2.7192857 0.4067345 3.8137393
  [14,] 0.9428485 1.6150801 2.6975517 0.4009641 3.7977505
  [15,] 0.9390523 1.5905352 2.6760599 0.3954444 3.7817054
  [16,] 0.9353347 1.5666140 2.6548077 0.3901653 3.7656071
  [17,] 0.9316944 1.5432991 2.6337923 0.3851171 3.7494587
  [18,] 0.9281300 1.5205735 2.6130111 0.3802907 3.7332633
  [19,] 0.9246404 1.4984210 2.5924617 0.3756773 3.7170239
  [20,] 0.9212242 1.4768258 2.5721415 0.3712685 3.7007436
  [21,] 0.9178803 1.4557727 2.5520479 0.3670564 3.6844251
  [22,] 0.9146075 1.4352467 2.5321784 0.3630334 3.6680714
  [23,] 0.9114045 1.4152337 2.5125307 0.3591922 3.6516854
  [24,] 0.9082703 1.3957196 2.4931022 0.3555259 3.6352698
  [25,] 0.9052037 1.3766911 2.4738907 0.3520278 3.6188274
  [26,] 0.9022035 1.3581351 2.4548937 0.3486918 3.6023609
  [27,] 0.8992687 1.3400390 2.4361089 0.3455116 3.5858730
  [28,] 0.8963983 1.3223906 2.4175339 0.3424817 3.5693662
  [29,] 0.8935911 1.3051779 2.3991666 0.3395964 3.5528432
  [30,] 0.8908462 1.2883896 2.3810046 0.3368506 3.5363064
  [31,] 0.8881625 1.2720143 2.3630457 0.3342392 3.5197584
  [32,] 0.8855391 1.2560414 2.3452878 0.3317573 3.5032016
  [33,] 0.8829749 1.2404603 2.3277286 0.3294005 3.4866383
  [34,] 0.8804690 1.2252609 2.3103659 0.3271642 3.4700711
  [35,] 0.8780204 1.2104333 2.2931977 0.3250444 3.4535021
  [36,] 0.8756283 1.1959678 2.2762219 0.3230369 3.4369336
  [37,] 0.8732917 1.1818553 2.2594363 0.3211379 3.4203679
  [38,] 0.8710098 1.1680867 2.2428390 0.3193438 3.4038072
  [39,] 0.8687816 1.1546533 2.2264278 0.3176509 3.3872535
  [40,] 0.8666063 1.1415466 2.2102008 0.3160560 3.3707091
  [41,] 0.8644831 1.1287582 2.1941560 0.3145557 3.3541759
  [42,] 0.8624111 1.1162803 2.1782915 0.3131469 3.3376560
  [43,] 0.8603895 1.1041050 2.1626052 0.3118267 3.3211514
  [44,] 0.8584175 1.0922248 2.1470953 0.3105923 3.3046641
  [45,] 0.8564943 1.0806323 2.1317599 0.3094408 3.2881958
  [46,] 0.8546191 1.0693205 2.1165971 0.3083697 3.2717486
  [47,] 0.8527913 1.0582824 2.1016051 0.3073764 3.2553242
  [48,] 0.8510100 1.0475113 2.0867819 0.3064585 3.2389244
  [49,] 0.8492745 1.0370007 2.0721259 0.3056137 3.2225509
  [50,] 0.8475840 1.0267442 2.0576352 0.3048398 3.2062056
  [51,] 0.8459380 1.0167356 2.0433080 0.3041346 3.1898900
  [52,] 0.8443356 1.0069690 2.0291427 0.3034960 3.1736058
  [53,] 0.8427762 0.9974385 2.0151374 0.3029222 3.1573546
  [54,] 0.8412591 0.9881385 2.0012905 0.3024112 3.1411379
  [55,] 0.8397837 0.9790635 1.9876002 0.3019611 3.1249574
  [56,] 0.8383492 0.9702080 1.9740649 0.3015703 3.1088144
  [57,] 0.8369552 0.9615669 1.9606829 0.3012370 3.0927106
  [58,] 0.8356008 0.9531352 1.9474527 0.3009596 3.0766472
  [59,] 0.8342856 0.9449078 1.9343725 0.3007366 3.0606257
  [60,] 0.8330088 0.9368801 1.9214408 0.3005665 3.0446474
  [61,] 0.8317700 0.9290472 1.9086559 0.3004477 3.0287137
  [62,] 0.8305685 0.9214048 1.8960165 0.3003791 3.0128258
  [63,] 0.8294037 0.9139484 1.8835207 0.3003591 2.9969851
  [64,] 0.8282751 0.9066737 1.8711673 0.3003865 2.9811927
  [65,] 0.8271821 0.8995766 1.8589545 0.3004601 2.9654499
  [66,] 0.8261241 0.8926528 1.8468810 0.3005787 2.9497578
  [67,] 0.8251006 0.8858986 1.8349453 0.3007411 2.9341176
  [68,] 0.8241111 0.8793100 1.8231458 0.3009463 2.9185303
  [69,] 0.8231551 0.8728833 1.8114812 0.3011931 2.9029970
  [70,] 0.8222319 0.8666149 1.7999500 0.3014805 2.8875188
  [71,] 0.8213412 0.8605011 1.7885508 0.3018076 2.8720967
  [72,] 0.8204824 0.8545385 1.7772821 0.3021733 2.8567317
  [73,] 0.8196551 0.8487238 1.7661427 0.3025768 2.8414248
  [74,] 0.8188586 0.8430536 1.7551310 0.3030171 2.8261768
  [75,] 0.8180927 0.8375249 1.7442458 0.3034935 2.8109887
  [76,] 0.8173567 0.8321343 1.7334858 0.3040050 2.7958613
  [77,] 0.8166502 0.8268790 1.7228495 0.3045508 2.7807956
  [78,] 0.8159728 0.8217559 1.7123358 0.3051303 2.7657922
  [79,] 0.8153240 0.8167622 1.7019432 0.3057426 2.7508521
  [80,] 0.8147034 0.8118950 1.6916705 0.3063870 2.7359760
  [81,] 0.8141106 0.8071517 1.6815164 0.3070628 2.7211647
  [82,] 0.8135450 0.8025295 1.6714796 0.3077694 2.7064188
  [83,] 0.8130064 0.7980259 1.6615590 0.3085061 2.6917391
  [84,] 0.8124942 0.7936383 1.6517533 0.3092722 2.6771262
  [85,] 0.8120080 0.7893642 1.6420612 0.3100672 2.6625807
  [86,] 0.8115476 0.7852013 1.6324816 0.3108904 2.6481034
  [87,] 0.8111124 0.7811472 1.6230133 0.3117413 2.6336949
  [88,] 0.8107020 0.7771995 1.6136550 0.3126193 2.6193556
  [89,] 0.8103161 0.7733562 1.6044056 0.3135240 2.6050861
  [90,] 0.8099544 0.7696149 1.5952641 0.3144546 2.5908870
  [91,] 0.8096163 0.7659736 1.5862291 0.3154109 2.5767589
  [92,] 0.8093016 0.7624302 1.5772996 0.3163922 2.5627021
  [93,] 0.8090099 0.7589827 1.5684745 0.3173981 2.5487172
  [94,] 0.8087409 0.7556291 1.5597526 0.3184282 2.5348047
  [95,] 0.8084941 0.7523674 1.5511329 0.3194820 2.5209648
  [96,] 0.8082692 0.7491958 1.5426143 0.3205590 2.5071982
  [97,] 0.8080659 0.7461125 1.5341957 0.3216589 2.4935051
  [98,] 0.8078839 0.7431157 1.5258760 0.3227812 2.4798859
  [99,] 0.8077227 0.7402036 1.5176542 0.3239256 2.4663410
 [100,] 0.8075822 0.7373746 1.5095293 0.3250916 2.4528708
 [101,] 0.8074619 0.7346269 1.5015002 0.3262789 2.4394755
 [102,] 0.8073615 0.7319589 1.4935659 0.3274872 2.4261554
 [103,] 0.8072808 0.7293691 1.4857254 0.3287160 2.4129109
 [104,] 0.8072193 0.7268558 1.4779777 0.3299650 2.3997421
 [105,] 0.8071769 0.7244177 1.4703218 0.3312340 2.3866494
 [106,] 0.8071531 0.7220532 1.4627568 0.3325225 2.3736330
 [107,] 0.8071477 0.7197608 1.4552817 0.3338302 2.3606931
 [108,] 0.8071605 0.7175393 1.4478955 0.3351569 2.3478298
 [109,] 0.8071910 0.7153871 1.4405972 0.3365023 2.3350435
 [110,] 0.8072391 0.7133029 1.4333860 0.3378660 2.3223342
 [111,] 0.8073044 0.7112854 1.4262609 0.3392478 2.3097021
 [112,] 0.8073867 0.7093334 1.4192210 0.3406474 2.2971474
 [113,] 0.8074856 0.7074456 1.4122655 0.3420645 2.2846701
 [114,] 0.8076010 0.7056208 1.4053933 0.3434989 2.2722705
 [115,] 0.8077324 0.7038576 1.3986036 0.3449503 2.2599485
 [116,] 0.8078798 0.7021551 1.3918955 0.3464184 2.2477043
 [117,] 0.8080428 0.7005120 1.3852682 0.3479031 2.2355379
 [118,] 0.8082211 0.6989273 1.3787209 0.3494040 2.2234495
 [119,] 0.8084146 0.6973997 1.3722525 0.3509209 2.2114390
 [120,] 0.8086228 0.6959283 1.3658624 0.3524537 2.1995065
 [121,] 0.8088457 0.6945120 1.3595497 0.3540020 2.1876520
 [122,] 0.8090829 0.6931498 1.3533135 0.3555657 2.1758755
 [123,] 0.8093343 0.6918406 1.3471530 0.3571445 2.1641771
 [124,] 0.8095995 0.6905835 1.3410675 0.3587383 2.1525566
 [125,] 0.8098784 0.6893776 1.3350561 0.3603467 2.1410141
 [126,] 0.8101706 0.6882218 1.3291180 0.3619698 2.1295496
 [127,] 0.8104761 0.6871153 1.3232525 0.3636071 2.1181630
 [128,] 0.8107944 0.6860572 1.3174588 0.3652586 2.1068542
 [129,] 0.8111255 0.6850466 1.3117360 0.3669240 2.0956232
 [130,] 0.8114691 0.6840825 1.3060836 0.3686032 2.0844699
 [131,] 0.8118250 0.6831643 1.3005006 0.3702960 2.0733943
 [132,] 0.8121929 0.6822910 1.2949864 0.3720021 2.0623961
 [133,] 0.8125727 0.6814618 1.2895403 0.3737215 2.0514754
 [134,] 0.8129642 0.6806760 1.2841614 0.3754539 2.0406320
 [135,] 0.8133670 0.6799328 1.2788491 0.3771992 2.0298657
 [136,] 0.8137811 0.6792314 1.2736027 0.3789572 2.0191766
 [137,] 0.8142062 0.6785710 1.2684214 0.3807277 2.0085643
 [138,] 0.8146421 0.6779509 1.2633047 0.3825106 1.9980288
 [139,] 0.8150887 0.6773705 1.2582516 0.3843057 1.9875699
 [140,] 0.8155457 0.6768290 1.2532617 0.3861128 1.9771875
 [141,] 0.8160129 0.6763257 1.2483342 0.3879319 1.9668813
 [142,] 0.8164902 0.6758599 1.2434685 0.3897627 1.9566512
 [143,] 0.8169773 0.6754311 1.2386638 0.3916051 1.9464971
 [144,] 0.8174740 0.6750385 1.2339195 0.3934589 1.9364187
 [145,] 0.8179803 0.6746814 1.2292351 0.3953240 1.9264158
 [146,] 0.8184958 0.6743594 1.2246098 0.3972002 1.9164882
 [147,] 0.8190205 0.6740717 1.2200430 0.3990875 1.9066357
 [148,] 0.8195541 0.6738178 1.2155340 0.4009856 1.8968581
 [149,] 0.8200965 0.6735971 1.2110824 0.4028944 1.8871552
 [150,] 0.8206475 0.6734090 1.2066873 0.4048138 1.8775267
 [151,] 0.8212069 0.6732529 1.2023483 0.4067437 1.8679724
 [152,] 0.8217745 0.6731283 1.1980648 0.4086838 1.8584921
 [153,] 0.8223502 0.6730346 1.1938360 0.4106341 1.8490854
 [154,] 0.8229338 0.6729713 1.1896615 0.4125944 1.8397522
 [155,] 0.8235252 0.6729379 1.1855407 0.4145647 1.8304922
 [156,] 0.8241242 0.6729339 1.1814730 0.4165446 1.8213052
 [157,] 0.8247306 0.6729587 1.1774577 0.4185342 1.8121908
 [158,] 0.8253443 0.6730119 1.1734944 0.4205334 1.8031488
 [159,] 0.8259651 0.6730929 1.1695826 0.4225418 1.7941789
 [160,] 0.8265928 0.6732013 1.1657215 0.4245596 1.7852809
 [161,] 0.8272274 0.6733366 1.1619107 0.4265864 1.7764544
 [162,] 0.8278686 0.6734983 1.1581497 0.4286222 1.7676991
 [163,] 0.8285163 0.6736861 1.1544379 0.4306669 1.7590149
 [164,] 0.8291704 0.6738994 1.1507747 0.4327204 1.7504013
 [165,] 0.8298306 0.6741378 1.1471597 0.4347824 1.7418581
 [166,] 0.8304970 0.6744008 1.1435924 0.4368530 1.7333849
 [167,] 0.8311693 0.6746881 1.1400721 0.4389319 1.7249815
 [168,] 0.8318474 0.6749993 1.1365985 0.4410190 1.7166475
 [169,] 0.8325311 0.6753338 1.1331709 0.4431143 1.7083827
 [170,] 0.8332203 0.6756914 1.1297890 0.4452176 1.7001867
 [171,] 0.8339149 0.6760716 1.1264522 0.4473288 1.6920592
 [172,] 0.8346147 0.6764740 1.1231600 0.4494477 1.6839998
 [173,] 0.8353197 0.6768982 1.1199120 0.4515743 1.6760083
 [174,] 0.8360296 0.6773440 1.1167076 0.4537084 1.6680843
 [175,] 0.8367444 0.6778108 1.1135464 0.4558499 1.6602276
 [176,] 0.8374638 0.6782983 1.1104279 0.4579987 1.6524376
 [177,] 0.8381879 0.6788062 1.1073517 0.4601547 1.6447142
 [178,] 0.8389165 0.6793341 1.1043174 0.4623177 1.6370569
 [179,] 0.8396493 0.6798817 1.1013243 0.4644876 1.6294655
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[1001,] 0.9719135 0.9719592 0.9722560 0.9717787 0.9724973
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[1111,] 0.9854193 0.9852372 0.9856202 0.9849882 0.9859827
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[1123,] 0.9868687 0.9866855 0.9870517 0.9864469 0.9874003
[1124,] 0.9869866 0.9868035 0.9871682 0.9865658 0.9875155
[1125,] 0.9871041 0.9869210 0.9872842 0.9866843 0.9876303
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[1177,] 0.9924913 0.9923293 0.9926025 0.9921495 0.9928679
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[1188,] 0.9934351 0.9932806 0.9935337 0.9931137 0.9937806
[1189,] 0.9935175 0.9933636 0.9936149 0.9931979 0.9938601
[1190,] 0.9935992 0.9934461 0.9936956 0.9932816 0.9939391
[1191,] 0.9936804 0.9935279 0.9937757 0.9933646 0.9940175
[1192,] 0.9937609 0.9936093 0.9938552 0.9934471 0.9940953
[1193,] 0.9938409 0.9936900 0.9939341 0.9935290 0.9941726
[1194,] 0.9939204 0.9937702 0.9940124 0.9936103 0.9942492
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[1196,] 0.9940775 0.9939288 0.9941675 0.9937713 0.9944009
[1197,] 0.9941552 0.9940072 0.9942441 0.9938509 0.9944759
[1198,] 0.9942323 0.9940851 0.9943202 0.9939299 0.9945503
[1199,] 0.9943089 0.9941624 0.9943957 0.9940084 0.9946241
[1200,] 0.9943849 0.9942391 0.9944707 0.9940863 0.9946974
[1201,] 0.9944603 0.9943153 0.9945451 0.9941636 0.9947701
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[1469,] 1.0008207 1.0008183 1.0008107 1.0008228 1.0008048
[1470,] 1.0008184 1.0008162 1.0008085 1.0008208 1.0008024
[1471,] 1.0008161 1.0008140 1.0008062 1.0008187 1.0008000
[1472,] 1.0008137 1.0008118 1.0008038 1.0008166 1.0007975
[1473,] 1.0008113 1.0008095 1.0008014 1.0008144 1.0007949
[1474,] 1.0008089 1.0008072 1.0007990 1.0008122 1.0007924
[1475,] 1.0008064 1.0008049 1.0007965 1.0008100 1.0007897
[1476,] 1.0008039 1.0008025 1.0007940 1.0008076 1.0007871
[1477,] 1.0008013 1.0008000 1.0007914 1.0008053 1.0007844
[1478,] 1.0007987 1.0007976 1.0007888 1.0008029 1.0007817
[1479,] 1.0007960 1.0007950 1.0007862 1.0008004 1.0007789
[1480,] 1.0007933 1.0007925 1.0007835 1.0007980 1.0007761
[1481,] 1.0007906 1.0007899 1.0007808 1.0007954 1.0007733
[1482,] 1.0007878 1.0007872 1.0007780 1.0007929 1.0007704
[1483,] 1.0007850 1.0007845 1.0007752 1.0007902 1.0007675
[1484,] 1.0007821 1.0007818 1.0007724 1.0007876 1.0007645
[1485,] 1.0007793 1.0007791 1.0007696 1.0007849 1.0007616
[1486,] 1.0007763 1.0007763 1.0007667 1.0007822 1.0007586
[1487,] 1.0007734 1.0007734 1.0007637 1.0007794 1.0007555
[1488,] 1.0007704 1.0007706 1.0007608 1.0007766 1.0007525
[1489,] 1.0007674 1.0007677 1.0007578 1.0007738 1.0007494
[1490,] 1.0007643 1.0007647 1.0007548 1.0007709 1.0007463
[1491,] 1.0007613 1.0007618 1.0007517 1.0007680 1.0007431
[1492,] 1.0007582 1.0007588 1.0007486 1.0007651 1.0007399
[1493,] 1.0007550 1.0007557 1.0007455 1.0007621 1.0007367
[1494,] 1.0007519 1.0007527 1.0007424 1.0007591 1.0007335
[1495,] 1.0007487 1.0007496 1.0007392 1.0007561 1.0007303
[1496,] 1.0007454 1.0007465 1.0007360 1.0007530 1.0007270
[1497,] 1.0007422 1.0007433 1.0007328 1.0007499 1.0007237
[1498,] 1.0007389 1.0007402 1.0007296 1.0007468 1.0007204
[1499,] 1.0007356 1.0007370 1.0007263 1.0007436 1.0007170
[1500,] 1.0007323 1.0007337 1.0007230 1.0007405 1.0007137
[1501,] 1.0007290 1.0007305 1.0007197 1.0007373 1.0007103
[1502,] 1.0007256 1.0007272 1.0007164 1.0007340 1.0007069
[1503,] 1.0007222 1.0007239 1.0007130 1.0007308 1.0007034
[1504,] 1.0007188 1.0007206 1.0007096 1.0007275 1.0007000
[1505,] 1.0007154 1.0007173 1.0007063 1.0007242 1.0006965
[1506,] 1.0007119 1.0007139 1.0007028 1.0007209 1.0006930
[1507,] 1.0007085 1.0007105 1.0006994 1.0007176 1.0006895
[1508,] 1.0007050 1.0007071 1.0006959 1.0007142 1.0006860
[1509,] 1.0007015 1.0007037 1.0006925 1.0007108 1.0006825
[1510,] 1.0006980 1.0007003 1.0006890 1.0007074 1.0006790
[1511,] 1.0006944 1.0006968 1.0006855 1.0007040 1.0006754
[1512,] 1.0006909 1.0006933 1.0006820 1.0007005 1.0006718
[1513,] 1.0006873 1.0006898 1.0006784 1.0006971 1.0006682
[1514,] 1.0006837 1.0006863 1.0006749 1.0006936 1.0006646
[1515,] 1.0006801 1.0006828 1.0006713 1.0006901 1.0006610
[1516,] 1.0006765 1.0006793 1.0006677 1.0006866 1.0006574
[1517,] 1.0006729 1.0006757 1.0006642 1.0006831 1.0006538
[1518,] 1.0006692 1.0006721 1.0006605 1.0006795 1.0006501
[1519,] 1.0006656 1.0006686 1.0006569 1.0006759 1.0006465
[1520,] 1.0006619 1.0006650 1.0006533 1.0006724 1.0006428
[1521,] 1.0006582 1.0006614 1.0006497 1.0006688 1.0006391
[1522,] 1.0006545 1.0006577 1.0006460 1.0006652 1.0006354
[1523,] 1.0006508 1.0006541 1.0006424 1.0006616 1.0006317
[1524,] 1.0006471 1.0006505 1.0006387 1.0006580 1.0006280
[1525,] 1.0006434 1.0006468 1.0006350 1.0006543 1.0006243
[1526,] 1.0006397 1.0006431 1.0006313 1.0006507 1.0006206
[1527,] 1.0006360 1.0006395 1.0006276 1.0006470 1.0006169
[1528,] 1.0006322 1.0006358 1.0006239 1.0006433 1.0006132
[1529,] 1.0006285 1.0006321 1.0006202 1.0006397 1.0006094
[1530,] 1.0006247 1.0006284 1.0006165 1.0006360 1.0006057
[1531,] 1.0006210 1.0006247 1.0006128 1.0006323 1.0006020
[1532,] 1.0006172 1.0006210 1.0006091 1.0006286 1.0005982
[1533,] 1.0006134 1.0006173 1.0006054 1.0006249 1.0005945
[1534,] 1.0006097 1.0006135 1.0006016 1.0006212 1.0005907
[1535,] 1.0006059 1.0006098 1.0005979 1.0006175 1.0005870
[1536,] 1.0006021 1.0006061 1.0005941 1.0006137 1.0005832
[1537,] 1.0005983 1.0006023 1.0005904 1.0006100 1.0005795
[1538,] 1.0005945 1.0005986 1.0005867 1.0006063 1.0005757
[1539,] 1.0005907 1.0005949 1.0005829 1.0006025 1.0005719
[1540,] 1.0005869 1.0005911 1.0005792 1.0005988 1.0005682
[1541,] 1.0005831 1.0005873 1.0005754 1.0005950 1.0005644
[1542,] 1.0005793 1.0005836 1.0005716 1.0005913 1.0005606
[1543,] 1.0005755 1.0005798 1.0005679 1.0005875 1.0005569
[1544,] 1.0005717 1.0005761 1.0005641 1.0005837 1.0005531
[1545,] 1.0005679 1.0005723 1.0005604 1.0005800 1.0005494
[1546,] 1.0005641 1.0005686 1.0005566 1.0005762 1.0005456
[1547,] 1.0005603 1.0005648 1.0005529 1.0005725 1.0005418
[1548,] 1.0005566 1.0005610 1.0005491 1.0005687 1.0005381
[1549,] 1.0005528 1.0005573 1.0005454 1.0005649 1.0005343
[1550,] 1.0005490 1.0005535 1.0005416 1.0005612 1.0005306
[1551,] 1.0005452 1.0005498 1.0005379 1.0005574 1.0005268
[1552,] 1.0005414 1.0005460 1.0005341 1.0005536 1.0005231
[1553,] 1.0005376 1.0005422 1.0005304 1.0005499 1.0005194
[1554,] 1.0005338 1.0005385 1.0005266 1.0005461 1.0005156
[1555,] 1.0005300 1.0005347 1.0005229 1.0005424 1.0005119
[1556,] 1.0005262 1.0005310 1.0005192 1.0005386 1.0005082
[1557,] 1.0005225 1.0005272 1.0005154 1.0005349 1.0005044
[1558,] 1.0005187 1.0005235 1.0005117 1.0005311 1.0005007
[1559,] 1.0005149 1.0005198 1.0005080 1.0005274 1.0004970
[1560,] 1.0005112 1.0005160 1.0005043 1.0005236 1.0004933
[1561,] 1.0005074 1.0005123 1.0005006 1.0005199 1.0004896
[1562,] 1.0005037 1.0005086 1.0004969 1.0005161 1.0004859
[1563,] 1.0004999 1.0005048 1.0004932 1.0005124 1.0004822
[1564,] 1.0004962 1.0005011 1.0004895 1.0005087 1.0004786
[1565,] 1.0004925 1.0004974 1.0004858 1.0005049 1.0004749
[1566,] 1.0004887 1.0004937 1.0004821 1.0005012 1.0004712
[1567,] 1.0004850 1.0004900 1.0004784 1.0004975 1.0004676
[1568,] 1.0004813 1.0004863 1.0004748 1.0004938 1.0004639
[1569,] 1.0004776 1.0004826 1.0004711 1.0004901 1.0004603
[1570,] 1.0004739 1.0004790 1.0004675 1.0004864 1.0004567
[1571,] 1.0004702 1.0004753 1.0004638 1.0004827 1.0004530
[1572,] 1.0004666 1.0004716 1.0004602 1.0004791 1.0004494
[1573,] 1.0004629 1.0004680 1.0004566 1.0004754 1.0004458
[1574,] 1.0004592 1.0004643 1.0004529 1.0004717 1.0004422
[1575,] 1.0004556 1.0004607 1.0004493 1.0004681 1.0004386
[1576,] 1.0004519 1.0004571 1.0004457 1.0004644 1.0004351
[1577,] 1.0004483 1.0004534 1.0004421 1.0004608 1.0004315
[1578,] 1.0004447 1.0004498 1.0004386 1.0004571 1.0004279
[1579,] 1.0004411 1.0004462 1.0004350 1.0004535 1.0004244
[1580,] 1.0004375 1.0004426 1.0004314 1.0004499 1.0004209
[1581,] 1.0004339 1.0004390 1.0004279 1.0004463 1.0004173
[1582,] 1.0004303 1.0004355 1.0004243 1.0004427 1.0004138
[1583,] 1.0004267 1.0004319 1.0004208 1.0004391 1.0004103
[1584,] 1.0004231 1.0004283 1.0004173 1.0004355 1.0004068
[1585,] 1.0004196 1.0004248 1.0004138 1.0004320 1.0004034
[1586,] 1.0004161 1.0004213 1.0004103 1.0004284 1.0003999
[1587,] 1.0004125 1.0004177 1.0004068 1.0004249 1.0003964
[1588,] 1.0004090 1.0004142 1.0004033 1.0004213 1.0003930
[1589,] 1.0004055 1.0004107 1.0003999 1.0004178 1.0003896
[1590,] 1.0004020 1.0004072 1.0003964 1.0004143 1.0003862
[1591,] 1.0003985 1.0004038 1.0003930 1.0004108 1.0003828
[1592,] 1.0003951 1.0004003 1.0003896 1.0004073 1.0003794
[1593,] 1.0003916 1.0003968 1.0003861 1.0004038 1.0003760
[1594,] 1.0003882 1.0003934 1.0003827 1.0004003 1.0003726
[1595,] 1.0003847 1.0003900 1.0003794 1.0003969 1.0003693
[1596,] 1.0003813 1.0003866 1.0003760 1.0003934 1.0003659
[1597,] 1.0003779 1.0003831 1.0003726 1.0003900 1.0003626
[1598,] 1.0003745 1.0003798 1.0003693 1.0003866 1.0003593
[1599,] 1.0003711 1.0003764 1.0003659 1.0003832 1.0003560
[1600,] 1.0003678 1.0003730 1.0003626 1.0003798 1.0003527
[1601,] 1.0003644 1.0003697 1.0003593 1.0003764 1.0003494
[1602,] 1.0003611 1.0003663 1.0003560 1.0003730 1.0003462
[1603,] 1.0003578 1.0003630 1.0003527 1.0003697 1.0003429
[1604,] 1.0003544 1.0003597 1.0003495 1.0003663 1.0003397
[1605,] 1.0003512 1.0003564 1.0003462 1.0003630 1.0003365
[1606,] 1.0003479 1.0003531 1.0003430 1.0003597 1.0003333
[1607,] 1.0003446 1.0003498 1.0003397 1.0003564 1.0003301
[1608,] 1.0003413 1.0003466 1.0003365 1.0003531 1.0003269
[1609,] 1.0003381 1.0003433 1.0003333 1.0003498 1.0003238
[1610,] 1.0003349 1.0003401 1.0003301 1.0003466 1.0003206
[1611,] 1.0003317 1.0003369 1.0003270 1.0003433 1.0003175
[1612,] 1.0003285 1.0003337 1.0003238 1.0003401 1.0003144
[1613,] 1.0003253 1.0003305 1.0003207 1.0003369 1.0003113
[1614,] 1.0003221 1.0003273 1.0003176 1.0003337 1.0003082
[1615,] 1.0003190 1.0003242 1.0003144 1.0003305 1.0003051
[1616,] 1.0003159 1.0003210 1.0003114 1.0003273 1.0003021
[1617,] 1.0003127 1.0003179 1.0003083 1.0003242 1.0002991
[1618,] 1.0003096 1.0003148 1.0003052 1.0003210 1.0002960
[1619,] 1.0003066 1.0003117 1.0003022 1.0003179 1.0002930
[1620,] 1.0003035 1.0003086 1.0002991 1.0003148 1.0002901
[1621,] 1.0003004 1.0003055 1.0002961 1.0003117 1.0002871
[1622,] 1.0002974 1.0003025 1.0002931 1.0003086 1.0002841
[1623,] 1.0002944 1.0002994 1.0002901 1.0003055 1.0002812
[1624,] 1.0002913 1.0002964 1.0002872 1.0003025 1.0002783
[1625,] 1.0002884 1.0002934 1.0002842 1.0002994 1.0002753
[1626,] 1.0002854 1.0002904 1.0002813 1.0002964 1.0002725
[1627,] 1.0002824 1.0002874 1.0002783 1.0002934 1.0002696
[1628,] 1.0002795 1.0002845 1.0002754 1.0002904 1.0002667
[1629,] 1.0002765 1.0002815 1.0002725 1.0002874 1.0002639
[1630,] 1.0002736 1.0002786 1.0002697 1.0002845 1.0002610
[1631,] 1.0002707 1.0002757 1.0002668 1.0002815 1.0002582
[1632,] 1.0002679 1.0002728 1.0002640 1.0002786 1.0002554
[1633,] 1.0002650 1.0002699 1.0002611 1.0002757 1.0002527
[1634,] 1.0002621 1.0002671 1.0002583 1.0002728 1.0002499
[1635,] 1.0002593 1.0002642 1.0002555 1.0002699 1.0002471
[1636,] 1.0002565 1.0002614 1.0002528 1.0002671 1.0002444
[1637,] 1.0002537 1.0002586 1.0002500 1.0002642 1.0002417
[1638,] 1.0002509 1.0002558 1.0002473 1.0002614 1.0002390
[1639,] 1.0002481 1.0002530 1.0002445 1.0002586 1.0002363
[1640,] 1.0002454 1.0002502 1.0002418 1.0002558 1.0002337
[1641,] 1.0002427 1.0002475 1.0002391 1.0002530 1.0002310
[1642,] 1.0002400 1.0002448 1.0002364 1.0002502 1.0002284
[1643,] 1.0002373 1.0002420 1.0002338 1.0002475 1.0002258
[1644,] 1.0002346 1.0002393 1.0002311 1.0002447 1.0002232
[1645,] 1.0002319 1.0002367 1.0002285 1.0002420 1.0002206
[1646,] 1.0002293 1.0002340 1.0002259 1.0002393 1.0002180
[1647,] 1.0002266 1.0002313 1.0002233 1.0002366 1.0002155
[1648,] 1.0002240 1.0002287 1.0002207 1.0002340 1.0002129
[1649,] 1.0002214 1.0002261 1.0002181 1.0002313 1.0002104
[1650,] 1.0002188 1.0002235 1.0002156 1.0002287 1.0002079
[1651,] 1.0002163 1.0002209 1.0002131 1.0002261 1.0002054
[1652,] 1.0002137 1.0002183 1.0002105 1.0002235 1.0002030
[1653,] 1.0002112 1.0002158 1.0002080 1.0002209 1.0002005
[1654,] 1.0002087 1.0002133 1.0002056 1.0002183 1.0001981
[1655,] 1.0002062 1.0002107 1.0002031 1.0002158 1.0001957
[1656,] 1.0002037 1.0002082 1.0002006 1.0002132 1.0001933
[1657,] 1.0002012 1.0002057 1.0001982 1.0002107 1.0001909
[1658,] 1.0001988 1.0002033 1.0001958 1.0002082 1.0001885
[1659,] 1.0001963 1.0002008 1.0001934 1.0002057 1.0001862
[1660,] 1.0001939 1.0001984 1.0001910 1.0002033 1.0001838
[1661,] 1.0001915 1.0001960 1.0001886 1.0002008 1.0001815
[1662,] 1.0001891 1.0001936 1.0001863 1.0001984 1.0001792
[1663,] 1.0001868 1.0001912 1.0001840 1.0001959 1.0001769
[1664,] 1.0001844 1.0001888 1.0001816 1.0001935 1.0001747
[1665,] 1.0001821 1.0001865 1.0001793 1.0001912 1.0001724
[1666,] 1.0001798 1.0001841 1.0001771 1.0001888 1.0001702
[1667,] 1.0001775 1.0001818 1.0001748 1.0001864 1.0001679
[1668,] 1.0001752 1.0001795 1.0001725 1.0001841 1.0001657
[1669,] 1.0001729 1.0001772 1.0001703 1.0001818 1.0001636
[1670,] 1.0001707 1.0001750 1.0001681 1.0001795 1.0001614
[1671,] 1.0001685 1.0001727 1.0001659 1.0001772 1.0001592
[1672,] 1.0001662 1.0001705 1.0001637 1.0001749 1.0001571
[1673,] 1.0001640 1.0001682 1.0001615 1.0001727 1.0001550
[1674,] 1.0001619 1.0001660 1.0001594 1.0001704 1.0001529
[1675,] 1.0001597 1.0001638 1.0001572 1.0001682 1.0001508
[1676,] 1.0001575 1.0001617 1.0001551 1.0001660 1.0001487
[1677,] 1.0001554 1.0001595 1.0001530 1.0001638 1.0001467
[1678,] 1.0001533 1.0001574 1.0001509 1.0001616 1.0001446
[1679,] 1.0001512 1.0001553 1.0001489 1.0001595 1.0001426
[1680,] 1.0001491 1.0001532 1.0001468 1.0001573 1.0001406
[1681,] 1.0001470 1.0001511 1.0001448 1.0001552 1.0001386
[1682,] 1.0001450 1.0001490 1.0001427 1.0001531 1.0001366
[1683,] 1.0001430 1.0001469 1.0001407 1.0001510 1.0001347
[1684,] 1.0001409 1.0001449 1.0001387 1.0001489 1.0001327
[1685,] 1.0001389 1.0001429 1.0001368 1.0001469 1.0001308
[1686,] 1.0001369 1.0001408 1.0001348 1.0001448 1.0001289
[1687,] 1.0001350 1.0001389 1.0001329 1.0001428 1.0001270
[1688,] 1.0001330 1.0001369 1.0001309 1.0001408 1.0001251
[1689,] 1.0001311 1.0001349 1.0001290 1.0001388 1.0001232
[1690,] 1.0001292 1.0001330 1.0001271 1.0001368 1.0001214
[1691,] 1.0001272 1.0001310 1.0001252 1.0001349 1.0001195
[1692,] 1.0001254 1.0001291 1.0001234 1.0001329 1.0001177
[1693,] 1.0001235 1.0001272 1.0001215 1.0001310 1.0001159
[1694,] 1.0001216 1.0001253 1.0001197 1.0001291 1.0001141
[1695,] 1.0001198 1.0001235 1.0001179 1.0001272 1.0001123
[1696,] 1.0001179 1.0001216 1.0001161 1.0001253 1.0001106
[1697,] 1.0001161 1.0001198 1.0001143 1.0001234 1.0001088
[1698,] 1.0001143 1.0001180 1.0001125 1.0001216 1.0001071
[1699,] 1.0001125 1.0001162 1.0001107 1.0001197 1.0001054
[1700,] 1.0001108 1.0001144 1.0001090 1.0001179 1.0001037
[1701,] 1.0001090 1.0001126 1.0001073 1.0001161 1.0001020
[1702,] 1.0001073 1.0001108 1.0001056 1.0001143 1.0001004
[1703,] 1.0001056 1.0001091 1.0001039 1.0001125 1.0000987
[1704,] 1.0001039 1.0001074 1.0001022 1.0001108 1.0000971
[1705,] 1.0001022 1.0001056 1.0001005 1.0001090 1.0000954
[1706,] 1.0001005 1.0001039 1.0000989 1.0001073 1.0000938
[1707,] 1.0000988 1.0001023 1.0000972 1.0001056 1.0000922
[1708,] 1.0000972 1.0001006 1.0000956 1.0001039 1.0000907
[1709,] 1.0000955 1.0000989 1.0000940 1.0001022 1.0000891
[1710,] 1.0000939 1.0000973 1.0000924 1.0001005 1.0000875
[1711,] 1.0000923 1.0000957 1.0000908 1.0000989 1.0000860
[1712,] 1.0000907 1.0000941 1.0000892 1.0000972 1.0000845
[1713,] 1.0000892 1.0000925 1.0000877 1.0000956 1.0000830
[1714,] 1.0000876 1.0000909 1.0000862 1.0000940 1.0000815
[1715,] 1.0000861 1.0000893 1.0000846 1.0000924 1.0000800
[1716,] 1.0000845 1.0000878 1.0000831 1.0000908 1.0000785
[1717,] 1.0000830 1.0000862 1.0000816 1.0000893 1.0000771
[1718,] 1.0000815 1.0000847 1.0000802 1.0000877 1.0000756
[1719,] 1.0000800 1.0000832 1.0000787 1.0000862 1.0000742
[1720,] 1.0000786 1.0000817 1.0000772 1.0000846 1.0000728
[1721,] 1.0000771 1.0000802 1.0000758 1.0000831 1.0000714
[1722,] 1.0000757 1.0000787 1.0000744 1.0000816 1.0000700
[1723,] 1.0000742 1.0000773 1.0000730 1.0000802 1.0000687
[1724,] 1.0000728 1.0000758 1.0000716 1.0000787 1.0000673
[1725,] 1.0000714 1.0000744 1.0000702 1.0000772 1.0000660
[1726,] 1.0000700 1.0000730 1.0000688 1.0000758 1.0000646
[1727,] 1.0000686 1.0000716 1.0000675 1.0000744 1.0000633
[1728,] 1.0000673 1.0000702 1.0000661 1.0000730 1.0000620
[1729,] 1.0000659 1.0000689 1.0000648 1.0000716 1.0000607
[1730,] 1.0000646 1.0000675 1.0000635 1.0000702 1.0000595
[1731,] 1.0000633 1.0000662 1.0000622 1.0000688 1.0000582
[1732,] 1.0000620 1.0000648 1.0000609 1.0000675 1.0000570
[1733,] 1.0000607 1.0000635 1.0000596 1.0000661 1.0000557
[1734,] 1.0000594 1.0000622 1.0000584 1.0000648 1.0000545
[1735,] 1.0000581 1.0000609 1.0000571 1.0000635 1.0000533
[1736,] 1.0000569 1.0000596 1.0000559 1.0000622 1.0000521
[1737,] 1.0000556 1.0000584 1.0000546 1.0000609 1.0000509
[1738,] 1.0000544 1.0000571 1.0000534 1.0000596 1.0000497
[1739,] 1.0000532 1.0000559 1.0000522 1.0000583 1.0000486
[1740,] 1.0000520 1.0000547 1.0000511 1.0000571 1.0000474
[1741,] 1.0000508 1.0000535 1.0000499 1.0000558 1.0000463
[1742,] 1.0000496 1.0000523 1.0000487 1.0000546 1.0000452
[1743,] 1.0000485 1.0000511 1.0000476 1.0000534 1.0000441
[1744,] 1.0000473 1.0000499 1.0000464 1.0000522 1.0000430
[1745,] 1.0000462 1.0000487 1.0000453 1.0000510 1.0000419
[1746,] 1.0000450 1.0000476 1.0000442 1.0000499 1.0000408
[1747,] 1.0000439 1.0000465 1.0000431 1.0000487 1.0000397
[1748,] 1.0000428 1.0000453 1.0000420 1.0000475 1.0000387
[1749,] 1.0000417 1.0000442 1.0000409 1.0000464 1.0000376
[1750,] 1.0000407 1.0000431 1.0000399 1.0000453 1.0000366
[1751,] 1.0000396 1.0000420 1.0000388 1.0000442 1.0000356
[1752,] 1.0000385 1.0000410 1.0000378 1.0000431 1.0000346
[1753,] 1.0000375 1.0000399 1.0000368 1.0000420 1.0000336
[1754,] 1.0000365 1.0000388 1.0000357 1.0000409 1.0000326
[1755,] 1.0000354 1.0000378 1.0000347 1.0000398 1.0000317
[1756,] 1.0000344 1.0000368 1.0000337 1.0000388 1.0000307
[1757,] 1.0000334 1.0000358 1.0000328 1.0000378 1.0000298
[1758,] 1.0000325 1.0000347 1.0000318 1.0000367 1.0000288
[1759,] 1.0000315 1.0000338 1.0000308 1.0000357 1.0000279
[1760,] 1.0000305 1.0000328 1.0000299 1.0000347 1.0000270
[1761,] 1.0000296 1.0000318 1.0000290 1.0000337 1.0000261
[1762,] 1.0000286 1.0000308 1.0000280 1.0000327 1.0000252
[1763,] 1.0000277 1.0000299 1.0000271 1.0000318 1.0000243
[1764,] 1.0000268 1.0000290 1.0000262 1.0000308 1.0000234
[1765,] 1.0000259 1.0000280 1.0000253 1.0000298 1.0000226
[1766,] 1.0000250 1.0000271 1.0000244 1.0000289 1.0000217
[1767,] 1.0000241 1.0000262 1.0000236 1.0000280 1.0000209
[1768,] 1.0000232 1.0000253 1.0000227 1.0000271 1.0000201
[1769,] 1.0000224 1.0000244 1.0000219 1.0000262 1.0000192
[1770,] 1.0000215 1.0000236 1.0000210 1.0000253 1.0000184
[1771,] 1.0000207 1.0000227 1.0000202 1.0000244 1.0000176
[1772,] 1.0000198 1.0000219 1.0000194 1.0000235 1.0000168
[1773,] 1.0000190 1.0000210 1.0000186 1.0000227 1.0000161
[1774,] 1.0000182 1.0000202 1.0000178 1.0000218 1.0000153
[1775,] 1.0000174 1.0000194 1.0000170 1.0000210 1.0000145
[1776,] 1.0000166 1.0000186 1.0000162 1.0000201 1.0000138
[1777,] 1.0000158 1.0000178 1.0000154 1.0000193 1.0000131
[1778,] 1.0000151 1.0000170 1.0000147 1.0000185 1.0000123
[1779,] 1.0000143 1.0000162 1.0000139 1.0000177 1.0000116
[1780,] 1.0000136 1.0000154 1.0000132 1.0000169 1.0000109
[1781,] 1.0000128 1.0000147 1.0000125 1.0000161 1.0000102
[1782,] 1.0000121 1.0000139 1.0000117 1.0000154 1.0000095
[1783,] 1.0000114 1.0000132 1.0000110 1.0000146 1.0000088
[1784,] 1.0000107 1.0000124 1.0000103 1.0000139 1.0000082
[1785,] 1.0000100 1.0000117 1.0000096 1.0000131 1.0000075
[1786,] 1.0000093 1.0000110 1.0000090 1.0000124 1.0000068
[1787,] 1.0000086 1.0000103 1.0000083 1.0000117 1.0000062
[1788,] 1.0000079 1.0000096 1.0000076 1.0000110 1.0000056
[1789,] 1.0000072 1.0000089 1.0000070 1.0000103 1.0000049
[1790,] 1.0000066 1.0000083 1.0000063 1.0000096 1.0000043
[1791,] 1.0000059 1.0000076 1.0000057 1.0000089 1.0000037
[1792,] 1.0000053 1.0000069 1.0000051 1.0000082 1.0000031
[1793,] 1.0000047 1.0000063 1.0000044 1.0000076 1.0000025
[1794,] 1.0000041 1.0000057 1.0000038 1.0000069 1.0000019
[1795,] 1.0000034 1.0000050 1.0000032 1.0000063 1.0000014
[1796,] 1.0000028 1.0000044 1.0000026 1.0000056 1.0000008
[1797,] 1.0000023 1.0000038 1.0000021 1.0000050 1.0000002
[1798,] 1.0000017 1.0000032 1.0000015 1.0000044 0.9999997
[1799,] 1.0000011 1.0000026 1.0000009 1.0000038 0.9999992
[1800,] 1.0000005 1.0000020 1.0000004 1.0000032 0.9999986
[1801,] 1.0000000 1.0000015 0.9999998 1.0000026 0.9999981
[1802,] 0.9999994 1.0000009 0.9999993 1.0000020 0.9999976
[1803,] 0.9999989 1.0000003 0.9999987 1.0000014 0.9999971
[1804,] 0.9999983 0.9999998 0.9999982 1.0000009 0.9999966
[1805,] 0.9999978 0.9999992 0.9999977 1.0000003 0.9999961
[1806,] 0.9999973 0.9999987 0.9999972 0.9999997 0.9999956
[1807,] 0.9999968 0.9999982 0.9999967 0.9999992 0.9999951
[1808,] 0.9999963 0.9999977 0.9999962 0.9999987 0.9999946
[1809,] 0.9999958 0.9999972 0.9999957 0.9999981 0.9999942
[1810,] 0.9999953 0.9999967 0.9999952 0.9999976 0.9999937
[1811,] 0.9999948 0.9999962 0.9999947 0.9999971 0.9999933
[1812,] 0.9999944 0.9999957 0.9999943 0.9999966 0.9999928
[1813,] 0.9999939 0.9999952 0.9999938 0.9999961 0.9999924
[1814,] 0.9999934 0.9999947 0.9999934 0.9999956 0.9999920
[1815,] 0.9999930 0.9999943 0.9999929 0.9999952 0.9999916
[1816,] 0.9999925 0.9999938 0.9999925 0.9999947 0.9999911
[1817,] 0.9999921 0.9999934 0.9999921 0.9999942 0.9999907
[1818,] 0.9999917 0.9999929 0.9999917 0.9999938 0.9999903
[1819,] 0.9999913 0.9999925 0.9999912 0.9999933 0.9999900
[1820,] 0.9999909 0.9999920 0.9999908 0.9999929 0.9999896
[1821,] 0.9999905 0.9999916 0.9999904 0.9999924 0.9999892
[1822,] 0.9999901 0.9999912 0.9999901 0.9999920 0.9999888
[1823,] 0.9999897 0.9999908 0.9999897 0.9999916 0.9999885
[1824,] 0.9999893 0.9999904 0.9999893 0.9999912 0.9999881
[1825,] 0.9999889 0.9999900 0.9999889 0.9999908 0.9999877
[1826,] 0.9999885 0.9999896 0.9999886 0.9999904 0.9999874
[1827,] 0.9999882 0.9999893 0.9999882 0.9999900 0.9999871
[1828,] 0.9999878 0.9999889 0.9999878 0.9999896 0.9999867
[1829,] 0.9999875 0.9999885 0.9999875 0.9999892 0.9999864
[1830,] 0.9999871 0.9999882 0.9999872 0.9999889 0.9999861
[1831,] 0.9999868 0.9999878 0.9999868 0.9999885 0.9999858
[1832,] 0.9999864 0.9999875 0.9999865 0.9999881 0.9999855
[1833,] 0.9999861 0.9999871 0.9999862 0.9999878 0.9999852
[1834,] 0.9999858 0.9999868 0.9999859 0.9999874 0.9999849
[1835,] 0.9999855 0.9999865 0.9999856 0.9999871 0.9999846
[1836,] 0.9999852 0.9999861 0.9999853 0.9999868 0.9999843
[1837,] 0.9999849 0.9999858 0.9999850 0.9999864 0.9999840
[1838,] 0.9999846 0.9999855 0.9999847 0.9999861 0.9999837
[1839,] 0.9999843 0.9999852 0.9999844 0.9999858 0.9999835
[1840,] 0.9999840 0.9999849 0.9999841 0.9999855 0.9999832
[1841,] 0.9999837 0.9999846 0.9999838 0.9999852 0.9999830
[1842,] 0.9999835 0.9999844 0.9999836 0.9999849 0.9999827
[1843,] 0.9999832 0.9999841 0.9999833 0.9999846 0.9999825
[1844,] 0.9999829 0.9999838 0.9999831 0.9999843 0.9999822
[1845,] 0.9999827 0.9999835 0.9999828 0.9999840 0.9999820
[1846,] 0.9999824 0.9999833 0.9999826 0.9999838 0.9999818
[1847,] 0.9999822 0.9999830 0.9999823 0.9999835 0.9999815
[1848,] 0.9999819 0.9999828 0.9999821 0.9999832 0.9999813
[1849,] 0.9999817 0.9999825 0.9999819 0.9999830 0.9999811
[1850,] 0.9999815 0.9999823 0.9999816 0.9999827 0.9999809
[1851,] 0.9999813 0.9999820 0.9999814 0.9999825 0.9999807
[1852,] 0.9999810 0.9999818 0.9999812 0.9999822 0.9999805
[1853,] 0.9999808 0.9999816 0.9999810 0.9999820 0.9999803
[1854,] 0.9999806 0.9999814 0.9999808 0.9999818 0.9999801
[1855,] 0.9999804 0.9999812 0.9999806 0.9999816 0.9999799
[1856,] 0.9999802 0.9999810 0.9999804 0.9999813 0.9999798
[1857,] 0.9999800 0.9999807 0.9999802 0.9999811 0.9999796
[1858,] 0.9999798 0.9999805 0.9999800 0.9999809 0.9999794
[1859,] 0.9999797 0.9999804 0.9999798 0.9999807 0.9999793
[1860,] 0.9999795 0.9999802 0.9999797 0.9999805 0.9999791
[1861,] 0.9999793 0.9999800 0.9999795 0.9999803 0.9999789
[1862,] 0.9999791 0.9999798 0.9999793 0.9999801 0.9999788
[1863,] 0.9999790 0.9999796 0.9999792 0.9999800 0.9999786
[1864,] 0.9999788 0.9999795 0.9999790 0.9999798 0.9999785
[1865,] 0.9999787 0.9999793 0.9999789 0.9999796 0.9999784
[1866,] 0.9999785 0.9999791 0.9999787 0.9999794 0.9999782
[1867,] 0.9999784 0.9999790 0.9999786 0.9999793 0.9999781
[1868,] 0.9999782 0.9999788 0.9999784 0.9999791 0.9999780
[1869,] 0.9999781 0.9999787 0.9999783 0.9999789 0.9999779
[1870,] 0.9999780 0.9999785 0.9999782 0.9999788 0.9999777
[1871,] 0.9999778 0.9999784 0.9999780 0.9999787 0.9999776
[1872,] 0.9999777 0.9999783 0.9999779 0.9999785 0.9999775
[1873,] 0.9999776 0.9999781 0.9999778 0.9999784 0.9999774
[1874,] 0.9999775 0.9999780 0.9999777 0.9999782 0.9999773
[1875,] 0.9999773 0.9999779 0.9999776 0.9999781 0.9999772
[1876,] 0.9999772 0.9999778 0.9999775 0.9999780 0.9999771
[1877,] 0.9999771 0.9999776 0.9999774 0.9999779 0.9999770
[1878,] 0.9999770 0.9999775 0.9999773 0.9999777 0.9999769
[1879,] 0.9999769 0.9999774 0.9999772 0.9999776 0.9999768
[1880,] 0.9999768 0.9999773 0.9999771 0.9999775 0.9999768
[1881,] 0.9999767 0.9999772 0.9999770 0.9999774 0.9999767
[1882,] 0.9999767 0.9999771 0.9999769 0.9999773 0.9999766
[1883,] 0.9999766 0.9999770 0.9999768 0.9999772 0.9999765
[1884,] 0.9999765 0.9999770 0.9999767 0.9999771 0.9999765
[1885,] 0.9999764 0.9999769 0.9999767 0.9999770 0.9999764
[1886,] 0.9999764 0.9999768 0.9999766 0.9999769 0.9999764
[1887,] 0.9999763 0.9999767 0.9999765 0.9999768 0.9999763
[1888,] 0.9999762 0.9999766 0.9999765 0.9999768 0.9999762
[1889,] 0.9999762 0.9999766 0.9999764 0.9999767 0.9999762
[1890,] 0.9999761 0.9999765 0.9999764 0.9999766 0.9999761
[1891,] 0.9999760 0.9999764 0.9999763 0.9999765 0.9999761
[1892,] 0.9999760 0.9999764 0.9999762 0.9999765 0.9999761
[1893,] 0.9999759 0.9999763 0.9999762 0.9999764 0.9999760
[1894,] 0.9999759 0.9999763 0.9999762 0.9999764 0.9999760
[1895,] 0.9999758 0.9999762 0.9999761 0.9999763 0.9999760
[1896,] 0.9999758 0.9999762 0.9999761 0.9999762 0.9999759
[1897,] 0.9999758 0.9999761 0.9999760 0.9999762 0.9999759
[1898,] 0.9999757 0.9999761 0.9999760 0.9999761 0.9999759
[1899,] 0.9999757 0.9999760 0.9999760 0.9999761 0.9999759
[1900,] 0.9999757 0.9999760 0.9999759 0.9999761 0.9999758
[1901,] 0.9999757 0.9999760 0.9999759 0.9999760 0.9999758
[1902,] 0.9999756 0.9999759 0.9999759 0.9999760 0.9999758
[1903,] 0.9999756 0.9999759 0.9999759 0.9999759 0.9999758
[1904,] 0.9999756 0.9999759 0.9999759 0.9999759 0.9999758
[1905,] 0.9999756 0.9999759 0.9999759 0.9999759 0.9999758
[1906,] 0.9999756 0.9999758 0.9999758 0.9999759 0.9999758
[1907,] 0.9999756 0.9999758 0.9999758 0.9999758 0.9999758
[1908,] 0.9999756 0.9999758 0.9999758 0.9999758 0.9999758
[1909,] 0.9999755 0.9999758 0.9999758 0.9999758 0.9999758
[1910,] 0.9999755 0.9999758 0.9999758 0.9999758 0.9999758
[1911,] 0.9999755 0.9999758 0.9999758 0.9999758 0.9999758
[1912,] 0.9999755 0.9999758 0.9999758 0.9999758 0.9999758
[1913,] 0.9999756 0.9999758 0.9999758 0.9999758 0.9999758
[1914,] 0.9999756 0.9999758 0.9999758 0.9999758 0.9999758
[1915,] 0.9999756 0.9999758 0.9999759 0.9999758 0.9999759
[1916,] 0.9999756 0.9999758 0.9999759 0.9999758 0.9999759
[1917,] 0.9999756 0.9999758 0.9999759 0.9999758 0.9999759
[1918,] 0.9999756 0.9999758 0.9999759 0.9999758 0.9999759
[1919,] 0.9999756 0.9999758 0.9999759 0.9999758 0.9999759
[1920,] 0.9999757 0.9999758 0.9999759 0.9999758 0.9999760
[1921,] 0.9999757 0.9999759 0.9999760 0.9999758 0.9999760
[1922,] 0.9999757 0.9999759 0.9999760 0.9999758 0.9999760
[1923,] 0.9999757 0.9999759 0.9999760 0.9999758 0.9999761
[1924,] 0.9999758 0.9999759 0.9999760 0.9999759 0.9999761
[1925,] 0.9999758 0.9999760 0.9999761 0.9999759 0.9999761
[1926,] 0.9999758 0.9999760 0.9999761 0.9999759 0.9999762
[1927,] 0.9999759 0.9999760 0.9999761 0.9999759 0.9999762
[1928,] 0.9999759 0.9999760 0.9999762 0.9999760 0.9999763
[1929,] 0.9999759 0.9999761 0.9999762 0.9999760 0.9999763
[1930,] 0.9999760 0.9999761 0.9999763 0.9999760 0.9999764
[1931,] 0.9999760 0.9999761 0.9999763 0.9999761 0.9999764
[1932,] 0.9999761 0.9999762 0.9999763 0.9999761 0.9999765
[1933,] 0.9999761 0.9999762 0.9999764 0.9999761 0.9999765
[1934,] 0.9999762 0.9999763 0.9999764 0.9999762 0.9999766
[1935,] 0.9999762 0.9999763 0.9999765 0.9999762 0.9999766
[1936,] 0.9999763 0.9999764 0.9999765 0.9999763 0.9999767
[1937,] 0.9999763 0.9999764 0.9999766 0.9999763 0.9999767
[1938,] 0.9999764 0.9999765 0.9999766 0.9999763 0.9999768
[1939,] 0.9999764 0.9999765 0.9999767 0.9999764 0.9999768
[1940,] 0.9999765 0.9999766 0.9999768 0.9999764 0.9999769
[1941,] 0.9999765 0.9999766 0.9999768 0.9999765 0.9999770
[1942,] 0.9999766 0.9999767 0.9999769 0.9999766 0.9999770
[1943,] 0.9999767 0.9999767 0.9999769 0.9999766 0.9999771
[1944,] 0.9999767 0.9999768 0.9999770 0.9999767 0.9999772
[1945,] 0.9999768 0.9999768 0.9999771 0.9999767 0.9999772
[1946,] 0.9999769 0.9999769 0.9999771 0.9999768 0.9999773
[1947,] 0.9999769 0.9999770 0.9999772 0.9999768 0.9999774
[1948,] 0.9999770 0.9999770 0.9999773 0.9999769 0.9999775
[1949,] 0.9999771 0.9999771 0.9999773 0.9999770 0.9999775
[1950,] 0.9999771 0.9999772 0.9999774 0.9999770 0.9999776
[1951,] 0.9999772 0.9999772 0.9999775 0.9999771 0.9999777
[1952,] 0.9999773 0.9999773 0.9999776 0.9999772 0.9999778
[1953,] 0.9999773 0.9999774 0.9999776 0.9999772 0.9999778
[1954,] 0.9999774 0.9999774 0.9999777 0.9999773 0.9999779
[1955,] 0.9999775 0.9999775 0.9999778 0.9999774 0.9999780
[1956,] 0.9999776 0.9999776 0.9999779 0.9999774 0.9999781
[1957,] 0.9999777 0.9999777 0.9999779 0.9999775 0.9999781
[1958,] 0.9999777 0.9999777 0.9999780 0.9999776 0.9999782
[1959,] 0.9999778 0.9999778 0.9999781 0.9999777 0.9999783
[1960,] 0.9999779 0.9999779 0.9999782 0.9999777 0.9999784
[1961,] 0.9999780 0.9999780 0.9999783 0.9999778 0.9999785
[1962,] 0.9999781 0.9999781 0.9999783 0.9999779 0.9999786
[1963,] 0.9999781 0.9999781 0.9999784 0.9999780 0.9999787
[1964,] 0.9999782 0.9999782 0.9999785 0.9999781 0.9999787
[1965,] 0.9999783 0.9999783 0.9999786 0.9999781 0.9999788
[1966,] 0.9999784 0.9999784 0.9999787 0.9999782 0.9999789
[1967,] 0.9999785 0.9999785 0.9999788 0.9999783 0.9999790
[1968,] 0.9999786 0.9999786 0.9999789 0.9999784 0.9999791
[1969,] 0.9999787 0.9999787 0.9999789 0.9999785 0.9999792
[1970,] 0.9999788 0.9999787 0.9999790 0.9999786 0.9999793
[1971,] 0.9999789 0.9999788 0.9999791 0.9999786 0.9999794
[1972,] 0.9999789 0.9999789 0.9999792 0.9999787 0.9999795
[1973,] 0.9999790 0.9999790 0.9999793 0.9999788 0.9999796
[1974,] 0.9999791 0.9999791 0.9999794 0.9999789 0.9999797
[1975,] 0.9999792 0.9999792 0.9999795 0.9999790 0.9999798
[1976,] 0.9999793 0.9999793 0.9999796 0.9999791 0.9999799
[1977,] 0.9999794 0.9999794 0.9999797 0.9999792 0.9999800
[1978,] 0.9999795 0.9999795 0.9999798 0.9999793 0.9999800
[1979,] 0.9999796 0.9999796 0.9999799 0.9999794 0.9999801
[1980,] 0.9999797 0.9999797 0.9999800 0.9999795 0.9999802
[1981,] 0.9999798 0.9999798 0.9999801 0.9999796 0.9999803
[1982,] 0.9999799 0.9999798 0.9999802 0.9999796 0.9999804
[1983,] 0.9999800 0.9999799 0.9999803 0.9999797 0.9999805
[1984,] 0.9999801 0.9999800 0.9999804 0.9999798 0.9999806
[1985,] 0.9999802 0.9999801 0.9999805 0.9999799 0.9999807
[1986,] 0.9999803 0.9999802 0.9999806 0.9999800 0.9999808
[1987,] 0.9999804 0.9999803 0.9999807 0.9999801 0.9999809
[1988,] 0.9999805 0.9999804 0.9999808 0.9999802 0.9999810
[1989,] 0.9999806 0.9999805 0.9999809 0.9999803 0.9999811
[1990,] 0.9999807 0.9999806 0.9999810 0.9999804 0.9999813
[1991,] 0.9999808 0.9999807 0.9999811 0.9999805 0.9999814
[1992,] 0.9999809 0.9999808 0.9999812 0.9999806 0.9999815
[1993,] 0.9999810 0.9999809 0.9999813 0.9999807 0.9999816
[1994,] 0.9999811 0.9999810 0.9999814 0.9999808 0.9999817
[1995,] 0.9999812 0.9999811 0.9999815 0.9999809 0.9999818
[1996,] 0.9999813 0.9999812 0.9999816 0.9999810 0.9999819
[1997,] 0.9999814 0.9999813 0.9999817 0.9999811 0.9999820
[1998,] 0.9999815 0.9999814 0.9999818 0.9999812 0.9999821
[1999,] 0.9999816 0.9999816 0.9999819 0.9999813 0.9999822
[2000,] 0.9999818 0.9999817 0.9999820 0.9999814 0.9999823
[2001,] 0.9999819 0.9999818 0.9999821 0.9999815 0.9999824

$y
             [,1]      [,2]      [,3]      [,4]      [,5]
   [1,] 1.0000000 2.0000000 1.0000000 3.0000000 0.5000000
   [2,] 0.9950125 1.9880318 0.9989975 2.9721081 0.5043877
   [3,] 0.9900502 1.9761263 0.9979899 2.9444331 0.5087275
   [4,] 0.9851131 1.9642823 0.9969770 2.9169757 0.5130199
   [5,] 0.9802013 1.9524987 0.9959589 2.8897363 0.5172652
   [6,] 0.9753150 1.9407742 0.9949353 2.8627156 0.5214639
   [7,] 0.9704544 1.9291078 0.9939062 2.8359138 0.5256163
   [8,] 0.9656194 1.9174985 0.9928715 2.8093313 0.5297228
   [9,] 0.9608102 1.9059451 0.9918311 2.7829680 0.5337838
  [10,] 0.9560270 1.8944469 0.9907848 2.7568240 0.5377997
  [11,] 0.9512697 1.8830028 0.9897327 2.7308993 0.5417709
  [12,] 0.9465386 1.8716119 0.9886745 2.7051937 0.5456977
  [13,] 0.9418336 1.8602735 0.9876102 2.6797068 0.5495804
  [14,] 0.9371550 1.8489868 0.9865397 2.6544384 0.5534196
  [15,] 0.9325028 1.8377511 0.9854630 2.6293880 0.5572154
  [16,] 0.9278770 1.8265656 0.9843799 2.6045550 0.5609683
  [17,] 0.9232777 1.8154296 0.9832903 2.5799390 0.5646786
  [18,] 0.9187051 1.8043427 0.9821941 2.5555392 0.5683467
  [19,] 0.9141592 1.7933042 0.9810914 2.5313549 0.5719728
  [20,] 0.9096400 1.7823136 0.9799819 2.5073854 0.5755575
  [21,] 0.9051477 1.7713705 0.9788656 2.4836298 0.5791008
  [22,] 0.9006823 1.7604743 0.9777425 2.4600872 0.5826033
  [23,] 0.8962439 1.7496248 0.9766124 2.4367566 0.5860653
  [24,] 0.8918324 1.7388215 0.9754753 2.4136372 0.5894869
  [25,] 0.8874481 1.7280641 0.9743311 2.3907278 0.5928687
  [26,] 0.8830908 1.7173523 0.9731797 2.3680275 0.5962108
  [27,] 0.8787607 1.7066859 0.9720211 2.3455350 0.5995136
  [28,] 0.8744579 1.6960647 0.9708552 2.3232493 0.6027775
  [29,] 0.8701822 1.6854884 0.9696819 2.3011693 0.6060026
  [30,] 0.8659339 1.6749570 0.9685012 2.2792936 0.6091894
  [31,] 0.8617128 1.6644703 0.9673130 2.2576211 0.6123381
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 [995,] 0.5064670 0.5069625 0.5063310 0.5073862 0.5056920
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 [997,] 0.5060527 0.5065390 0.5059228 0.5069527 0.5052987
 [998,] 0.5058492 0.5063310 0.5057224 0.5067397 0.5051056
 [999,] 0.5056482 0.5061255 0.5055244 0.5065292 0.5049149
[1000,] 0.5054496 0.5059225 0.5053288 0.5063213 0.5047266
[1001,] 0.5052534 0.5057219 0.5051356 0.5061158 0.5045406
[1002,] 0.5050597 0.5055237 0.5049448 0.5059127 0.5043570
[1003,] 0.5048684 0.5053279 0.5047563 0.5057122 0.5041757
[1004,] 0.5046794 0.5051346 0.5045702 0.5055140 0.5039966
[1005,] 0.5044928 0.5049436 0.5043864 0.5053183 0.5038198
[1006,] 0.5043085 0.5047550 0.5042050 0.5051249 0.5036453
[1007,] 0.5041266 0.5045687 0.5040258 0.5049340 0.5034731
[1008,] 0.5039469 0.5043847 0.5038489 0.5047454 0.5033031
[1009,] 0.5037696 0.5042031 0.5036742 0.5045591 0.5031352
[1010,] 0.5035945 0.5040237 0.5035018 0.5043752 0.5029696
[1011,] 0.5034217 0.5038467 0.5033317 0.5041936 0.5028062
[1012,] 0.5032512 0.5036719 0.5031637 0.5040143 0.5026449
[1013,] 0.5030828 0.5034993 0.5029979 0.5038372 0.5024858
[1014,] 0.5029167 0.5033290 0.5028344 0.5036625 0.5023288
[1015,] 0.5027528 0.5031609 0.5026729 0.5034900 0.5021739
[1016,] 0.5025910 0.5029950 0.5025137 0.5033197 0.5020211
[1017,] 0.5024314 0.5028313 0.5023565 0.5031516 0.5018704
[1018,] 0.5022739 0.5026697 0.5022015 0.5029857 0.5017218
[1019,] 0.5021186 0.5025103 0.5020486 0.5028220 0.5015752
[1020,] 0.5019654 0.5023530 0.5018977 0.5026605 0.5014306
[1021,] 0.5018143 0.5021979 0.5017489 0.5025011 0.5012881
[1022,] 0.5016652 0.5020448 0.5016022 0.5023439 0.5011476
[1023,] 0.5015182 0.5018938 0.5014575 0.5021887 0.5010090
[1024,] 0.5013733 0.5017449 0.5013148 0.5020357 0.5008725
[1025,] 0.5012304 0.5015980 0.5011741 0.5018848 0.5007378
[1026,] 0.5010895 0.5014532 0.5010354 0.5017359 0.5006052
[1027,] 0.5009506 0.5013104 0.5008987 0.5015891 0.5004744
[1028,] 0.5008137 0.5011696 0.5007640 0.5014443 0.5003455
[1029,] 0.5006787 0.5010308 0.5006311 0.5013015 0.5002186
[1030,] 0.5005457 0.5008940 0.5005002 0.5011608 0.5000935
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[1033,] 0.5001583 0.5004951 0.5001189 0.5007504 0.4997294
[1034,] 0.5000329 0.5003660 0.4999955 0.5006175 0.4996116
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[1037,] 0.4996680 0.4999900 0.4996364 0.5002302 0.4992691
[1038,] 0.4995500 0.4998684 0.4995203 0.5001049 0.4991585
[1039,] 0.4994338 0.4997486 0.4994060 0.4999815 0.4990496
[1040,] 0.4993195 0.4996306 0.4992934 0.4998599 0.4989424
[1041,] 0.4992069 0.4995144 0.4991827 0.4997402 0.4988370
[1042,] 0.4990960 0.4994000 0.4990736 0.4996222 0.4987332
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[1044,] 0.4988796 0.4991765 0.4988607 0.4993917 0.4985307
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[1046,] 0.4986700 0.4989600 0.4986545 0.4991683 0.4983347
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[1066,] 0.4969257 0.4971511 0.4969392 0.4972972 0.4967122
[1067,] 0.4968541 0.4970765 0.4968688 0.4972198 0.4966461
[1068,] 0.4967839 0.4970033 0.4967998 0.4971438 0.4965812
[1069,] 0.4967150 0.4969315 0.4967321 0.4970693 0.4965177
[1070,] 0.4966475 0.4968611 0.4966658 0.4969961 0.4964554
[1071,] 0.4965814 0.4967920 0.4966008 0.4969243 0.4963944
[1072,] 0.4965166 0.4967243 0.4965371 0.4968540 0.4963347
[1073,] 0.4964530 0.4966579 0.4964747 0.4967850 0.4962763
[1074,] 0.4963908 0.4965929 0.4964135 0.4967173 0.4962191
[1075,] 0.4963299 0.4965292 0.4963537 0.4966510 0.4961631
[1076,] 0.4962703 0.4964667 0.4962951 0.4965860 0.4961084
[1077,] 0.4962119 0.4964056 0.4962378 0.4965223 0.4960548
[1078,] 0.4961548 0.4963457 0.4961816 0.4964599 0.4960025
[1079,] 0.4960989 0.4962871 0.4961268 0.4963988 0.4959513
[1080,] 0.4960442 0.4962297 0.4960731 0.4963390 0.4959013
[1081,] 0.4959907 0.4961736 0.4960206 0.4962804 0.4958525
[1082,] 0.4959385 0.4961186 0.4959693 0.4962231 0.4958048
[1083,] 0.4958874 0.4960649 0.4959191 0.4961670 0.4957582
[1084,] 0.4958375 0.4960124 0.4958701 0.4961121 0.4957128
[1085,] 0.4957888 0.4959611 0.4958223 0.4960584 0.4956684
[1086,] 0.4957412 0.4959109 0.4957756 0.4960059 0.4956251
[1087,] 0.4956947 0.4958619 0.4957300 0.4959547 0.4955830
[1088,] 0.4956494 0.4958140 0.4956855 0.4959045 0.4955419
[1089,] 0.4956051 0.4957673 0.4956421 0.4958556 0.4955018
[1090,] 0.4955620 0.4957217 0.4955997 0.4958077 0.4954628
[1091,] 0.4955200 0.4956772 0.4955585 0.4957610 0.4954249
[1092,] 0.4954790 0.4956337 0.4955183 0.4957155 0.4953879
[1093,] 0.4954391 0.4955914 0.4954792 0.4956710 0.4953520
[1094,] 0.4954002 0.4955502 0.4954411 0.4956276 0.4953171
[1095,] 0.4953624 0.4955100 0.4954040 0.4955854 0.4952831
[1096,] 0.4953256 0.4954708 0.4953679 0.4955441 0.4952501
[1097,] 0.4952898 0.4954327 0.4953328 0.4955040 0.4952181
[1098,] 0.4952551 0.4953956 0.4952988 0.4954649 0.4951871
[1099,] 0.4952213 0.4953595 0.4952656 0.4954268 0.4951570
[1100,] 0.4951885 0.4953244 0.4952335 0.4953898 0.4951278
[1101,] 0.4951566 0.4952904 0.4952023 0.4953537 0.4950996
[1102,] 0.4951258 0.4952572 0.4951721 0.4953187 0.4950722
[1103,] 0.4950958 0.4952251 0.4951428 0.4952846 0.4950458
[1104,] 0.4950668 0.4951939 0.4951144 0.4952516 0.4950202
[1105,] 0.4950388 0.4951637 0.4950869 0.4952195 0.4949956
[1106,] 0.4950116 0.4951344 0.4950603 0.4951883 0.4949717
[1107,] 0.4949854 0.4951060 0.4950346 0.4951581 0.4949488
[1108,] 0.4949600 0.4950785 0.4950098 0.4951289 0.4949267
[1109,] 0.4949355 0.4950519 0.4949859 0.4951005 0.4949054
[1110,] 0.4949119 0.4950262 0.4949628 0.4950731 0.4948850
[1111,] 0.4948892 0.4950014 0.4949406 0.4950466 0.4948653
[1112,] 0.4948673 0.4949775 0.4949191 0.4950209 0.4948465
[1113,] 0.4948462 0.4949544 0.4948986 0.4949961 0.4948285
[1114,] 0.4948260 0.4949322 0.4948788 0.4949722 0.4948112
[1115,] 0.4948065 0.4949108 0.4948598 0.4949492 0.4947947
[1116,] 0.4947879 0.4948902 0.4948417 0.4949270 0.4947790
[1117,] 0.4947701 0.4948704 0.4948243 0.4949057 0.4947640
[1118,] 0.4947531 0.4948515 0.4948077 0.4948851 0.4947498
[1119,] 0.4947368 0.4948333 0.4947919 0.4948654 0.4947364
[1120,] 0.4947213 0.4948159 0.4947768 0.4948465 0.4947236
[1121,] 0.4947066 0.4947994 0.4947624 0.4948284 0.4947116
[1122,] 0.4946926 0.4947835 0.4947488 0.4948111 0.4947002
[1123,] 0.4946794 0.4947684 0.4947359 0.4947945 0.4946896
[1124,] 0.4946668 0.4947541 0.4947238 0.4947787 0.4946796
[1125,] 0.4946550 0.4947405 0.4947123 0.4947637 0.4946704
[1126,] 0.4946440 0.4947277 0.4947016 0.4947494 0.4946618
[1127,] 0.4946336 0.4947155 0.4946915 0.4947358 0.4946538
[1128,] 0.4946239 0.4947041 0.4946821 0.4947230 0.4946465
[1129,] 0.4946148 0.4946933 0.4946734 0.4947109 0.4946399
[1130,] 0.4946065 0.4946833 0.4946653 0.4946995 0.4946339
[1131,] 0.4945988 0.4946739 0.4946579 0.4946888 0.4946285
[1132,] 0.4945917 0.4946652 0.4946511 0.4946788 0.4946237
[1133,] 0.4945853 0.4946571 0.4946450 0.4946694 0.4946195
[1134,] 0.4945796 0.4946497 0.4946395 0.4946608 0.4946160
[1135,] 0.4945744 0.4946430 0.4946346 0.4946528 0.4946130
[1136,] 0.4945699 0.4946369 0.4946303 0.4946454 0.4946106
[1137,] 0.4945660 0.4946314 0.4946266 0.4946387 0.4946087
[1138,] 0.4945627 0.4946265 0.4946235 0.4946326 0.4946075
[1139,] 0.4945600 0.4946222 0.4946210 0.4946272 0.4946067
[1140,] 0.4945578 0.4946186 0.4946190 0.4946223 0.4946066
[1141,] 0.4945563 0.4946155 0.4946177 0.4946181 0.4946070
[1142,] 0.4945553 0.4946130 0.4946168 0.4946145 0.4946079
[1143,] 0.4945548 0.4946111 0.4946166 0.4946115 0.4946093
[1144,] 0.4945549 0.4946097 0.4946168 0.4946090 0.4946112
[1145,] 0.4945556 0.4946089 0.4946176 0.4946071 0.4946137
[1146,] 0.4945567 0.4946087 0.4946189 0.4946058 0.4946166
[1147,] 0.4945584 0.4946090 0.4946208 0.4946050 0.4946201
[1148,] 0.4945607 0.4946098 0.4946231 0.4946048 0.4946240
[1149,] 0.4945634 0.4946111 0.4946260 0.4946051 0.4946284
[1150,] 0.4945666 0.4946130 0.4946293 0.4946060 0.4946333
[1151,] 0.4945703 0.4946153 0.4946331 0.4946074 0.4946386
[1152,] 0.4945745 0.4946182 0.4946374 0.4946093 0.4946444
[1153,] 0.4945792 0.4946216 0.4946422 0.4946117 0.4946506
[1154,] 0.4945844 0.4946254 0.4946474 0.4946146 0.4946573
[1155,] 0.4945900 0.4946297 0.4946531 0.4946180 0.4946644
[1156,] 0.4945960 0.4946345 0.4946592 0.4946219 0.4946719
[1157,] 0.4946025 0.4946398 0.4946658 0.4946262 0.4946799
[1158,] 0.4946095 0.4946455 0.4946728 0.4946310 0.4946882
[1159,] 0.4946169 0.4946517 0.4946802 0.4946363 0.4946970
[1160,] 0.4946247 0.4946583 0.4946881 0.4946421 0.4947061
[1161,] 0.4946329 0.4946653 0.4946963 0.4946483 0.4947157
[1162,] 0.4946416 0.4946728 0.4947050 0.4946549 0.4947256
[1163,] 0.4946506 0.4946806 0.4947140 0.4946620 0.4947359
[1164,] 0.4946600 0.4946889 0.4947235 0.4946695 0.4947466
[1165,] 0.4946699 0.4946976 0.4947333 0.4946774 0.4947576
[1166,] 0.4946801 0.4947067 0.4947435 0.4946857 0.4947690
[1167,] 0.4946907 0.4947162 0.4947541 0.4946944 0.4947808
[1168,] 0.4947016 0.4947260 0.4947651 0.4947036 0.4947929
[1169,] 0.4947130 0.4947363 0.4947764 0.4947131 0.4948053
[1170,] 0.4947246 0.4947469 0.4947880 0.4947230 0.4948181
[1171,] 0.4947367 0.4947579 0.4948000 0.4947332 0.4948312
[1172,] 0.4947491 0.4947692 0.4948123 0.4947439 0.4948446
[1173,] 0.4947618 0.4947809 0.4948250 0.4947549 0.4948583
[1174,] 0.4947748 0.4947929 0.4948380 0.4947663 0.4948723
[1175,] 0.4947882 0.4948053 0.4948513 0.4947780 0.4948866
[1176,] 0.4948019 0.4948180 0.4948649 0.4947900 0.4949012
[1177,] 0.4948159 0.4948310 0.4948789 0.4948025 0.4949161
[1178,] 0.4948302 0.4948444 0.4948931 0.4948152 0.4949313
[1179,] 0.4948448 0.4948580 0.4949077 0.4948282 0.4949468
[1180,] 0.4948597 0.4948720 0.4949225 0.4948416 0.4949626
[1181,] 0.4948749 0.4948863 0.4949376 0.4948553 0.4949786
[1182,] 0.4948904 0.4949008 0.4949530 0.4948693 0.4949948
[1183,] 0.4949061 0.4949157 0.4949686 0.4948836 0.4950113
[1184,] 0.4949222 0.4949308 0.4949845 0.4948982 0.4950281
[1185,] 0.4949384 0.4949463 0.4950007 0.4949131 0.4950451
[1186,] 0.4949550 0.4949620 0.4950172 0.4949283 0.4950624
[1187,] 0.4949718 0.4949779 0.4950339 0.4949437 0.4950799
[1188,] 0.4949889 0.4949941 0.4950508 0.4949594 0.4950976
[1189,] 0.4950062 0.4950106 0.4950680 0.4949754 0.4951155
[1190,] 0.4950237 0.4950273 0.4950854 0.4949917 0.4951337
[1191,] 0.4950415 0.4950443 0.4951030 0.4950082 0.4951521
[1192,] 0.4950595 0.4950615 0.4951209 0.4950249 0.4951707
[1193,] 0.4950777 0.4950790 0.4951390 0.4950419 0.4951894
[1194,] 0.4950961 0.4950966 0.4951573 0.4950592 0.4952084
[1195,] 0.4951148 0.4951145 0.4951758 0.4950767 0.4952276
[1196,] 0.4951337 0.4951327 0.4951945 0.4950944 0.4952470
[1197,] 0.4951527 0.4951510 0.4952134 0.4951123 0.4952665
[1198,] 0.4951720 0.4951695 0.4952325 0.4951304 0.4952862
[1199,] 0.4951914 0.4951883 0.4952518 0.4951488 0.4953061
[1200,] 0.4952111 0.4952072 0.4952712 0.4951674 0.4953262
[1201,] 0.4952309 0.4952263 0.4952909 0.4951861 0.4953464
[1202,] 0.4952509 0.4952457 0.4953107 0.4952051 0.4953668
[1203,] 0.4952711 0.4952652 0.4953307 0.4952243 0.4953874
[1204,] 0.4952914 0.4952849 0.4953509 0.4952436 0.4954081
[1205,] 0.4953119 0.4953047 0.4953712 0.4952632 0.4954290
[1206,] 0.4953326 0.4953248 0.4953917 0.4952829 0.4954500
[1207,] 0.4953534 0.4953450 0.4954123 0.4953028 0.4954711
[1208,] 0.4953744 0.4953653 0.4954331 0.4953228 0.4954924
[1209,] 0.4953955 0.4953859 0.4954540 0.4953431 0.4955138
[1210,] 0.4954168 0.4954065 0.4954751 0.4953634 0.4955353
[1211,] 0.4954382 0.4954274 0.4954963 0.4953840 0.4955569
[1212,] 0.4954598 0.4954483 0.4955177 0.4954047 0.4955787
[1213,] 0.4954814 0.4954694 0.4955391 0.4954255 0.4956006
[1214,] 0.4955032 0.4954907 0.4955607 0.4954465 0.4956226
[1215,] 0.4955252 0.4955120 0.4955824 0.4954677 0.4956447
[1216,] 0.4955472 0.4955335 0.4956042 0.4954889 0.4956669
[1217,] 0.4955694 0.4955552 0.4956262 0.4955103 0.4956892
[1218,] 0.4955916 0.4955769 0.4956482 0.4955318 0.4957116
[1219,] 0.4956140 0.4955988 0.4956704 0.4955535 0.4957341
[1220,] 0.4956365 0.4956207 0.4956926 0.4955753 0.4957567
[1221,] 0.4956590 0.4956428 0.4957149 0.4955971 0.4957794
[1222,] 0.4956817 0.4956650 0.4957374 0.4956191 0.4958021
[1223,] 0.4957044 0.4956873 0.4957599 0.4956412 0.4958250
[1224,] 0.4957273 0.4957097 0.4957825 0.4956635 0.4958479
[1225,] 0.4957502 0.4957321 0.4958052 0.4956858 0.4958708
[1226,] 0.4957732 0.4957547 0.4958280 0.4957082 0.4958939
[1227,] 0.4957963 0.4957774 0.4958508 0.4957307 0.4959170
[1228,] 0.4958195 0.4958001 0.4958737 0.4957532 0.4959402
[1229,] 0.4958427 0.4958229 0.4958967 0.4957759 0.4959634
[1230,] 0.4958660 0.4958458 0.4959198 0.4957987 0.4959867
[1231,] 0.4958894 0.4958687 0.4959429 0.4958215 0.4960100
[1232,] 0.4959128 0.4958918 0.4959661 0.4958444 0.4960334
[1233,] 0.4959363 0.4959148 0.4959893 0.4958674 0.4960568
[1234,] 0.4959598 0.4959380 0.4960126 0.4958904 0.4960803
[1235,] 0.4959834 0.4959612 0.4960359 0.4959135 0.4961038
[1236,] 0.4960070 0.4959845 0.4960593 0.4959367 0.4961273
[1237,] 0.4960307 0.4960078 0.4960827 0.4959599 0.4961509
[1238,] 0.4960544 0.4960312 0.4961062 0.4959832 0.4961745
[1239,] 0.4960782 0.4960546 0.4961297 0.4960065 0.4961982
[1240,] 0.4961020 0.4960780 0.4961532 0.4960299 0.4962218
[1241,] 0.4961258 0.4961015 0.4961768 0.4960534 0.4962455
[1242,] 0.4961496 0.4961250 0.4962003 0.4960768 0.4962692
[1243,] 0.4961735 0.4961486 0.4962240 0.4961004 0.4962930
[1244,] 0.4961974 0.4961722 0.4962476 0.4961239 0.4963167
[1245,] 0.4962213 0.4961958 0.4962713 0.4961475 0.4963405
[1246,] 0.4962453 0.4962195 0.4962949 0.4961711 0.4963642
[1247,] 0.4962693 0.4962432 0.4963186 0.4961948 0.4963880
[1248,] 0.4962932 0.4962669 0.4963424 0.4962184 0.4964118
[1249,] 0.4963172 0.4962906 0.4963661 0.4962421 0.4964356
[1250,] 0.4963412 0.4963143 0.4963898 0.4962658 0.4964593
[1251,] 0.4963652 0.4963381 0.4964135 0.4962896 0.4964831
[1252,] 0.4963892 0.4963618 0.4964373 0.4963133 0.4965069
[1253,] 0.4964132 0.4963856 0.4964610 0.4963371 0.4965306
[1254,] 0.4964372 0.4964093 0.4964847 0.4963609 0.4965544
[1255,] 0.4964612 0.4964331 0.4965084 0.4963846 0.4965781
[1256,] 0.4964852 0.4964569 0.4965322 0.4964084 0.4966019
[1257,] 0.4965092 0.4964806 0.4965559 0.4964322 0.4966256
[1258,] 0.4965332 0.4965044 0.4965796 0.4964560 0.4966493
[1259,] 0.4965572 0.4965282 0.4966033 0.4964798 0.4966729
[1260,] 0.4965811 0.4965519 0.4966269 0.4965035 0.4966966
[1261,] 0.4966050 0.4965756 0.4966506 0.4965273 0.4967202
[1262,] 0.4966289 0.4965994 0.4966742 0.4965511 0.4967438
[1263,] 0.4966528 0.4966231 0.4966978 0.4965748 0.4967674
[1264,] 0.4966767 0.4966468 0.4967214 0.4965986 0.4967909
[1265,] 0.4967005 0.4966704 0.4967450 0.4966223 0.4968144
[1266,] 0.4967244 0.4966941 0.4967685 0.4966460 0.4968379
[1267,] 0.4967481 0.4967177 0.4967920 0.4966697 0.4968614
[1268,] 0.4967719 0.4967413 0.4968155 0.4966933 0.4968848
[1269,] 0.4967956 0.4967649 0.4968390 0.4967170 0.4969081
[1270,] 0.4968193 0.4967884 0.4968624 0.4967406 0.4969315
[1271,] 0.4968429 0.4968119 0.4968857 0.4967642 0.4969547
[1272,] 0.4968666 0.4968354 0.4969091 0.4967877 0.4969780
[1273,] 0.4968901 0.4968588 0.4969323 0.4968112 0.4970012
[1274,] 0.4969137 0.4968822 0.4969556 0.4968347 0.4970243
[1275,] 0.4969371 0.4969056 0.4969788 0.4968582 0.4970474
[1276,] 0.4969606 0.4969289 0.4970020 0.4968816 0.4970705
[1277,] 0.4969840 0.4969522 0.4970251 0.4969050 0.4970934
[1278,] 0.4970073 0.4969754 0.4970481 0.4969283 0.4971164
[1279,] 0.4970306 0.4969986 0.4970711 0.4969516 0.4971393
[1280,] 0.4970538 0.4970217 0.4970941 0.4969749 0.4971621
[1281,] 0.4970770 0.4970448 0.4971170 0.4969981 0.4971849
[1282,] 0.4971002 0.4970679 0.4971399 0.4970212 0.4972076
[1283,] 0.4971232 0.4970909 0.4971626 0.4970443 0.4972302
[1284,] 0.4971462 0.4971138 0.4971854 0.4970674 0.4972528
[1285,] 0.4971692 0.4971367 0.4972081 0.4970904 0.4972753
[1286,] 0.4971921 0.4971595 0.4972307 0.4971133 0.4972978
[1287,] 0.4972149 0.4971823 0.4972532 0.4971362 0.4973202
[1288,] 0.4972377 0.4972050 0.4972757 0.4971591 0.4973425
[1289,] 0.4972604 0.4972276 0.4972982 0.4971818 0.4973647
[1290,] 0.4972830 0.4972502 0.4973205 0.4972046 0.4973869
[1291,] 0.4973056 0.4972727 0.4973428 0.4972272 0.4974090
[1292,] 0.4973281 0.4972952 0.4973650 0.4972498 0.4974311
[1293,] 0.4973505 0.4973176 0.4973872 0.4972724 0.4974530
[1294,] 0.4973729 0.4973399 0.4974093 0.4972948 0.4974749
[1295,] 0.4973952 0.4973622 0.4974313 0.4973172 0.4974968
[1296,] 0.4974174 0.4973844 0.4974532 0.4973396 0.4975185
[1297,] 0.4974396 0.4974065 0.4974751 0.4973618 0.4975402
[1298,] 0.4974616 0.4974285 0.4974969 0.4973840 0.4975618
[1299,] 0.4974836 0.4974505 0.4975186 0.4974062 0.4975833
[1300,] 0.4975055 0.4974724 0.4975403 0.4974282 0.4976047
[1301,] 0.4975274 0.4974942 0.4975618 0.4974502 0.4976260
[1302,] 0.4975491 0.4975160 0.4975833 0.4974721 0.4976473
[1303,] 0.4975708 0.4975376 0.4976047 0.4974939 0.4976685
[1304,] 0.4975924 0.4975592 0.4976260 0.4975157 0.4976896
[1305,] 0.4976139 0.4975807 0.4976473 0.4975374 0.4977106
[1306,] 0.4976353 0.4976022 0.4976684 0.4975590 0.4977315
[1307,] 0.4976567 0.4976235 0.4976895 0.4975805 0.4977523
[1308,] 0.4976779 0.4976448 0.4977105 0.4976019 0.4977731
[1309,] 0.4976991 0.4976660 0.4977314 0.4976233 0.4977938
[1310,] 0.4977202 0.4976871 0.4977522 0.4976446 0.4978143
[1311,] 0.4977412 0.4977081 0.4977730 0.4976658 0.4978348
[1312,] 0.4977621 0.4977290 0.4977936 0.4976869 0.4978552
[1313,] 0.4977829 0.4977499 0.4978142 0.4977079 0.4978755
[1314,] 0.4978036 0.4977706 0.4978346 0.4977289 0.4978957
[1315,] 0.4978243 0.4977913 0.4978550 0.4977497 0.4979159
[1316,] 0.4978448 0.4978119 0.4978753 0.4977705 0.4979359
[1317,] 0.4978653 0.4978324 0.4978955 0.4977912 0.4979558
[1318,] 0.4978856 0.4978528 0.4979156 0.4978117 0.4979757
[1319,] 0.4979059 0.4978731 0.4979356 0.4978322 0.4979954
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[1321,] 0.4979461 0.4979134 0.4979753 0.4978730 0.4980346
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[1577,] 0.5001387 0.5001350 0.5001374 0.5001332 0.5001402
[1578,] 0.5001395 0.5001359 0.5001382 0.5001342 0.5001409
[1579,] 0.5001403 0.5001367 0.5001390 0.5001351 0.5001416
[1580,] 0.5001411 0.5001376 0.5001397 0.5001360 0.5001423
[1581,] 0.5001419 0.5001384 0.5001405 0.5001369 0.5001430
[1582,] 0.5001426 0.5001392 0.5001412 0.5001378 0.5001436
[1583,] 0.5001433 0.5001400 0.5001419 0.5001386 0.5001443
[1584,] 0.5001440 0.5001407 0.5001426 0.5001394 0.5001448
[1585,] 0.5001447 0.5001415 0.5001432 0.5001401 0.5001454
[1586,] 0.5001453 0.5001422 0.5001439 0.5001409 0.5001460
[1587,] 0.5001459 0.5001428 0.5001445 0.5001416 0.5001465
[1588,] 0.5001465 0.5001435 0.5001450 0.5001423 0.5001470
[1589,] 0.5001471 0.5001441 0.5001456 0.5001430 0.5001475
[1590,] 0.5001476 0.5001447 0.5001461 0.5001436 0.5001480
[1591,] 0.5001482 0.5001453 0.5001466 0.5001442 0.5001484
[1592,] 0.5001487 0.5001458 0.5001471 0.5001448 0.5001488
[1593,] 0.5001491 0.5001464 0.5001476 0.5001454 0.5001492
[1594,] 0.5001496 0.5001469 0.5001480 0.5001460 0.5001496
[1595,] 0.5001500 0.5001474 0.5001484 0.5001465 0.5001499
[1596,] 0.5001504 0.5001478 0.5001489 0.5001470 0.5001503
[1597,] 0.5001508 0.5001483 0.5001492 0.5001475 0.5001506
[1598,] 0.5001512 0.5001487 0.5001496 0.5001480 0.5001509
[1599,] 0.5001516 0.5001491 0.5001499 0.5001484 0.5001512
[1600,] 0.5001519 0.5001495 0.5001503 0.5001488 0.5001514
[1601,] 0.5001522 0.5001498 0.5001506 0.5001492 0.5001517
[1602,] 0.5001525 0.5001502 0.5001508 0.5001496 0.5001519
[1603,] 0.5001528 0.5001505 0.5001511 0.5001500 0.5001521
[1604,] 0.5001530 0.5001508 0.5001513 0.5001503 0.5001523
[1605,] 0.5001532 0.5001511 0.5001516 0.5001506 0.5001524
[1606,] 0.5001535 0.5001513 0.5001518 0.5001509 0.5001526
[1607,] 0.5001536 0.5001516 0.5001520 0.5001512 0.5001527
[1608,] 0.5001538 0.5001518 0.5001521 0.5001515 0.5001528
[1609,] 0.5001540 0.5001520 0.5001523 0.5001517 0.5001529
[1610,] 0.5001541 0.5001522 0.5001524 0.5001519 0.5001530
[1611,] 0.5001542 0.5001524 0.5001525 0.5001521 0.5001531
[1612,] 0.5001544 0.5001525 0.5001526 0.5001523 0.5001531
[1613,] 0.5001544 0.5001526 0.5001527 0.5001525 0.5001532
[1614,] 0.5001545 0.5001528 0.5001528 0.5001526 0.5001532
[1615,] 0.5001546 0.5001529 0.5001528 0.5001528 0.5001532
[1616,] 0.5001546 0.5001529 0.5001529 0.5001529 0.5001532
[1617,] 0.5001546 0.5001530 0.5001529 0.5001530 0.5001531
[1618,] 0.5001547 0.5001531 0.5001529 0.5001531 0.5001531
[1619,] 0.5001546 0.5001531 0.5001529 0.5001531 0.5001530
[1620,] 0.5001546 0.5001531 0.5001529 0.5001532 0.5001530
[1621,] 0.5001546 0.5001531 0.5001528 0.5001532 0.5001529
[1622,] 0.5001545 0.5001531 0.5001528 0.5001532 0.5001528
[1623,] 0.5001545 0.5001531 0.5001527 0.5001532 0.5001527
[1624,] 0.5001544 0.5001530 0.5001526 0.5001532 0.5001525
[1625,] 0.5001543 0.5001530 0.5001525 0.5001532 0.5001524
[1626,] 0.5001542 0.5001529 0.5001524 0.5001531 0.5001522
[1627,] 0.5001541 0.5001528 0.5001523 0.5001531 0.5001521
[1628,] 0.5001539 0.5001527 0.5001521 0.5001530 0.5001519
[1629,] 0.5001538 0.5001526 0.5001520 0.5001529 0.5001517
[1630,] 0.5001536 0.5001525 0.5001518 0.5001528 0.5001515
[1631,] 0.5001534 0.5001524 0.5001516 0.5001527 0.5001513
[1632,] 0.5001533 0.5001522 0.5001515 0.5001526 0.5001511
[1633,] 0.5001531 0.5001520 0.5001513 0.5001525 0.5001508
[1634,] 0.5001528 0.5001519 0.5001510 0.5001523 0.5001506
[1635,] 0.5001526 0.5001517 0.5001508 0.5001521 0.5001503
[1636,] 0.5001524 0.5001515 0.5001506 0.5001520 0.5001500
[1637,] 0.5001521 0.5001513 0.5001503 0.5001518 0.5001497
[1638,] 0.5001519 0.5001510 0.5001501 0.5001516 0.5001495
[1639,] 0.5001516 0.5001508 0.5001498 0.5001514 0.5001491
[1640,] 0.5001513 0.5001505 0.5001495 0.5001511 0.5001488
[1641,] 0.5001510 0.5001503 0.5001492 0.5001509 0.5001485
[1642,] 0.5001507 0.5001500 0.5001489 0.5001506 0.5001482
[1643,] 0.5001504 0.5001497 0.5001486 0.5001504 0.5001478
[1644,] 0.5001501 0.5001494 0.5001483 0.5001501 0.5001475
[1645,] 0.5001498 0.5001491 0.5001480 0.5001498 0.5001471
[1646,] 0.5001494 0.5001488 0.5001476 0.5001495 0.5001467
[1647,] 0.5001491 0.5001485 0.5001473 0.5001492 0.5001464
[1648,] 0.5001487 0.5001482 0.5001469 0.5001489 0.5001460
[1649,] 0.5001483 0.5001478 0.5001465 0.5001486 0.5001456
[1650,] 0.5001480 0.5001475 0.5001462 0.5001483 0.5001452
[1651,] 0.5001476 0.5001471 0.5001458 0.5001479 0.5001447
[1652,] 0.5001472 0.5001467 0.5001454 0.5001476 0.5001443
[1653,] 0.5001468 0.5001464 0.5001450 0.5001472 0.5001439
[1654,] 0.5001463 0.5001460 0.5001446 0.5001468 0.5001434
[1655,] 0.5001459 0.5001456 0.5001441 0.5001464 0.5001430
[1656,] 0.5001455 0.5001452 0.5001437 0.5001460 0.5001425
[1657,] 0.5001450 0.5001447 0.5001433 0.5001456 0.5001421
[1658,] 0.5001446 0.5001443 0.5001428 0.5001452 0.5001416
[1659,] 0.5001441 0.5001439 0.5001424 0.5001448 0.5001411
[1660,] 0.5001437 0.5001435 0.5001419 0.5001444 0.5001406
[1661,] 0.5001432 0.5001430 0.5001414 0.5001440 0.5001402
[1662,] 0.5001427 0.5001426 0.5001410 0.5001435 0.5001397
[1663,] 0.5001422 0.5001421 0.5001405 0.5001431 0.5001392
[1664,] 0.5001418 0.5001416 0.5001400 0.5001426 0.5001386
[1665,] 0.5001413 0.5001412 0.5001395 0.5001422 0.5001381
[1666,] 0.5001407 0.5001407 0.5001390 0.5001417 0.5001376
[1667,] 0.5001402 0.5001402 0.5001385 0.5001412 0.5001371
[1668,] 0.5001397 0.5001397 0.5001380 0.5001407 0.5001365
[1669,] 0.5001392 0.5001392 0.5001375 0.5001402 0.5001360
[1670,] 0.5001387 0.5001387 0.5001369 0.5001397 0.5001355
[1671,] 0.5001381 0.5001382 0.5001364 0.5001392 0.5001349
[1672,] 0.5001376 0.5001376 0.5001359 0.5001387 0.5001344
[1673,] 0.5001370 0.5001371 0.5001353 0.5001382 0.5001338
[1674,] 0.5001365 0.5001366 0.5001348 0.5001377 0.5001332
[1675,] 0.5001359 0.5001360 0.5001342 0.5001372 0.5001327
[1676,] 0.5001354 0.5001355 0.5001337 0.5001366 0.5001321
[1677,] 0.5001348 0.5001349 0.5001331 0.5001361 0.5001315
[1678,] 0.5001342 0.5001344 0.5001325 0.5001356 0.5001309
[1679,] 0.5001336 0.5001338 0.5001320 0.5001350 0.5001303
[1680,] 0.5001331 0.5001333 0.5001314 0.5001344 0.5001297
[1681,] 0.5001325 0.5001327 0.5001308 0.5001339 0.5001291
[1682,] 0.5001319 0.5001321 0.5001302 0.5001333 0.5001285
[1683,] 0.5001313 0.5001315 0.5001296 0.5001328 0.5001279
[1684,] 0.5001307 0.5001310 0.5001290 0.5001322 0.5001273
[1685,] 0.5001301 0.5001304 0.5001284 0.5001316 0.5001267
[1686,] 0.5001295 0.5001298 0.5001278 0.5001310 0.5001261
[1687,] 0.5001289 0.5001292 0.5001272 0.5001304 0.5001255
[1688,] 0.5001282 0.5001286 0.5001266 0.5001298 0.5001249
[1689,] 0.5001276 0.5001280 0.5001260 0.5001292 0.5001242
[1690,] 0.5001270 0.5001274 0.5001254 0.5001286 0.5001236
[1691,] 0.5001264 0.5001268 0.5001248 0.5001280 0.5001230
[1692,] 0.5001257 0.5001261 0.5001241 0.5001274 0.5001223
[1693,] 0.5001251 0.5001255 0.5001235 0.5001268 0.5001217
[1694,] 0.5001245 0.5001249 0.5001229 0.5001262 0.5001211
[1695,] 0.5001238 0.5001243 0.5001222 0.5001256 0.5001204
[1696,] 0.5001232 0.5001237 0.5001216 0.5001250 0.5001198
[1697,] 0.5001226 0.5001230 0.5001210 0.5001243 0.5001191
[1698,] 0.5001219 0.5001224 0.5001203 0.5001237 0.5001185
[1699,] 0.5001213 0.5001218 0.5001197 0.5001231 0.5001178
[1700,] 0.5001206 0.5001211 0.5001190 0.5001224 0.5001172
[1701,] 0.5001200 0.5001205 0.5001184 0.5001218 0.5001165
[1702,] 0.5001193 0.5001198 0.5001178 0.5001212 0.5001159
[1703,] 0.5001186 0.5001192 0.5001171 0.5001205 0.5001152
[1704,] 0.5001180 0.5001185 0.5001165 0.5001199 0.5001146
[1705,] 0.5001173 0.5001179 0.5001158 0.5001192 0.5001139
[1706,] 0.5001167 0.5001172 0.5001151 0.5001186 0.5001132
[1707,] 0.5001160 0.5001166 0.5001145 0.5001179 0.5001126
[1708,] 0.5001153 0.5001159 0.5001138 0.5001173 0.5001119
[1709,] 0.5001147 0.5001153 0.5001132 0.5001166 0.5001112
[1710,] 0.5001140 0.5001146 0.5001125 0.5001160 0.5001106
[1711,] 0.5001133 0.5001140 0.5001118 0.5001153 0.5001099
[1712,] 0.5001126 0.5001133 0.5001112 0.5001147 0.5001092
[1713,] 0.5001120 0.5001126 0.5001105 0.5001140 0.5001086
[1714,] 0.5001113 0.5001120 0.5001098 0.5001133 0.5001079
[1715,] 0.5001106 0.5001113 0.5001092 0.5001127 0.5001072
[1716,] 0.5001099 0.5001106 0.5001085 0.5001120 0.5001065
[1717,] 0.5001093 0.5001100 0.5001078 0.5001113 0.5001059
[1718,] 0.5001086 0.5001093 0.5001072 0.5001107 0.5001052
[1719,] 0.5001079 0.5001086 0.5001065 0.5001100 0.5001045
[1720,] 0.5001072 0.5001080 0.5001058 0.5001093 0.5001039
[1721,] 0.5001066 0.5001073 0.5001051 0.5001087 0.5001032
[1722,] 0.5001059 0.5001066 0.5001045 0.5001080 0.5001025
[1723,] 0.5001052 0.5001059 0.5001038 0.5001073 0.5001018
[1724,] 0.5001045 0.5001053 0.5001031 0.5001066 0.5001012
[1725,] 0.5001038 0.5001046 0.5001025 0.5001060 0.5001005
[1726,] 0.5001031 0.5001039 0.5001018 0.5001053 0.5000998
[1727,] 0.5001025 0.5001032 0.5001011 0.5001046 0.5000991
[1728,] 0.5001018 0.5001026 0.5001004 0.5001039 0.5000985
[1729,] 0.5001011 0.5001019 0.5000998 0.5001033 0.5000978
[1730,] 0.5001004 0.5001012 0.5000991 0.5001026 0.5000971
[1731,] 0.5000997 0.5001005 0.5000984 0.5001019 0.5000964
[1732,] 0.5000991 0.5000999 0.5000977 0.5001012 0.5000958
[1733,] 0.5000984 0.5000992 0.5000971 0.5001006 0.5000951
[1734,] 0.5000977 0.5000985 0.5000964 0.5000999 0.5000944
[1735,] 0.5000970 0.5000979 0.5000957 0.5000992 0.5000937
[1736,] 0.5000963 0.5000972 0.5000950 0.5000985 0.5000931
[1737,] 0.5000957 0.5000965 0.5000944 0.5000979 0.5000924
[1738,] 0.5000950 0.5000958 0.5000937 0.5000972 0.5000917
[1739,] 0.5000943 0.5000952 0.5000930 0.5000965 0.5000911
[1740,] 0.5000936 0.5000945 0.5000924 0.5000959 0.5000904
[1741,] 0.5000930 0.5000938 0.5000917 0.5000952 0.5000897
[1742,] 0.5000923 0.5000931 0.5000910 0.5000945 0.5000891
[1743,] 0.5000916 0.5000925 0.5000904 0.5000938 0.5000884
[1744,] 0.5000909 0.5000918 0.5000897 0.5000932 0.5000877
[1745,] 0.5000903 0.5000911 0.5000890 0.5000925 0.5000871
[1746,] 0.5000896 0.5000905 0.5000884 0.5000918 0.5000864
[1747,] 0.5000889 0.5000898 0.5000877 0.5000912 0.5000858
[1748,] 0.5000882 0.5000891 0.5000871 0.5000905 0.5000851
[1749,] 0.5000876 0.5000885 0.5000864 0.5000898 0.5000844
[1750,] 0.5000869 0.5000878 0.5000857 0.5000892 0.5000838
[1751,] 0.5000863 0.5000871 0.5000851 0.5000885 0.5000831
[1752,] 0.5000856 0.5000865 0.5000844 0.5000878 0.5000825
[1753,] 0.5000849 0.5000858 0.5000838 0.5000872 0.5000818
[1754,] 0.5000843 0.5000852 0.5000831 0.5000865 0.5000812
[1755,] 0.5000836 0.5000845 0.5000825 0.5000858 0.5000805
[1756,] 0.5000829 0.5000839 0.5000818 0.5000852 0.5000799
[1757,] 0.5000823 0.5000832 0.5000812 0.5000845 0.5000792
[1758,] 0.5000816 0.5000826 0.5000805 0.5000839 0.5000786
[1759,] 0.5000810 0.5000819 0.5000799 0.5000832 0.5000780
[1760,] 0.5000803 0.5000813 0.5000792 0.5000826 0.5000773
[1761,] 0.5000797 0.5000806 0.5000786 0.5000819 0.5000767
[1762,] 0.5000790 0.5000800 0.5000779 0.5000813 0.5000760
[1763,] 0.5000784 0.5000793 0.5000773 0.5000806 0.5000754
[1764,] 0.5000777 0.5000787 0.5000767 0.5000800 0.5000748
[1765,] 0.5000771 0.5000780 0.5000760 0.5000793 0.5000741
[1766,] 0.5000765 0.5000774 0.5000754 0.5000787 0.5000735
[1767,] 0.5000758 0.5000768 0.5000748 0.5000780 0.5000729
[1768,] 0.5000752 0.5000761 0.5000741 0.5000774 0.5000723
[1769,] 0.5000745 0.5000755 0.5000735 0.5000768 0.5000717
[1770,] 0.5000739 0.5000749 0.5000729 0.5000761 0.5000710
[1771,] 0.5000733 0.5000742 0.5000723 0.5000755 0.5000704
[1772,] 0.5000727 0.5000736 0.5000716 0.5000749 0.5000698
[1773,] 0.5000720 0.5000730 0.5000710 0.5000742 0.5000692
[1774,] 0.5000714 0.5000723 0.5000704 0.5000736 0.5000686
[1775,] 0.5000708 0.5000717 0.5000698 0.5000730 0.5000680
[1776,] 0.5000702 0.5000711 0.5000692 0.5000724 0.5000674
[1777,] 0.5000695 0.5000705 0.5000686 0.5000717 0.5000668
[1778,] 0.5000689 0.5000699 0.5000680 0.5000711 0.5000662
[1779,] 0.5000683 0.5000693 0.5000674 0.5000705 0.5000656
[1780,] 0.5000677 0.5000686 0.5000668 0.5000699 0.5000650
[1781,] 0.5000671 0.5000680 0.5000662 0.5000693 0.5000644
[1782,] 0.5000665 0.5000674 0.5000656 0.5000687 0.5000638
[1783,] 0.5000659 0.5000668 0.5000650 0.5000680 0.5000632
[1784,] 0.5000653 0.5000662 0.5000644 0.5000674 0.5000626
[1785,] 0.5000647 0.5000656 0.5000638 0.5000668 0.5000620
[1786,] 0.5000641 0.5000650 0.5000632 0.5000662 0.5000614
[1787,] 0.5000635 0.5000644 0.5000626 0.5000656 0.5000609
[1788,] 0.5000629 0.5000638 0.5000620 0.5000650 0.5000603
[1789,] 0.5000623 0.5000633 0.5000614 0.5000644 0.5000597
[1790,] 0.5000617 0.5000627 0.5000609 0.5000639 0.5000591
[1791,] 0.5000612 0.5000621 0.5000603 0.5000633 0.5000586
[1792,] 0.5000606 0.5000615 0.5000597 0.5000627 0.5000580
[1793,] 0.5000600 0.5000609 0.5000591 0.5000621 0.5000574
[1794,] 0.5000594 0.5000604 0.5000586 0.5000615 0.5000569
[1795,] 0.5000588 0.5000598 0.5000580 0.5000609 0.5000563
[1796,] 0.5000583 0.5000592 0.5000574 0.5000604 0.5000558
[1797,] 0.5000577 0.5000586 0.5000569 0.5000598 0.5000552
[1798,] 0.5000571 0.5000581 0.5000563 0.5000592 0.5000547
[1799,] 0.5000566 0.5000575 0.5000558 0.5000586 0.5000541
[1800,] 0.5000560 0.5000569 0.5000552 0.5000581 0.5000536
[1801,] 0.5000555 0.5000564 0.5000547 0.5000575 0.5000530
[1802,] 0.5000549 0.5000558 0.5000541 0.5000569 0.5000525
[1803,] 0.5000544 0.5000553 0.5000536 0.5000564 0.5000520
[1804,] 0.5000538 0.5000547 0.5000530 0.5000558 0.5000514
[1805,] 0.5000533 0.5000542 0.5000525 0.5000553 0.5000509
[1806,] 0.5000527 0.5000536 0.5000520 0.5000547 0.5000504
[1807,] 0.5000522 0.5000531 0.5000514 0.5000542 0.5000498
[1808,] 0.5000517 0.5000526 0.5000509 0.5000536 0.5000493
[1809,] 0.5000511 0.5000520 0.5000504 0.5000531 0.5000488
[1810,] 0.5000506 0.5000515 0.5000499 0.5000526 0.5000483
[1811,] 0.5000501 0.5000510 0.5000493 0.5000520 0.5000478
[1812,] 0.5000495 0.5000504 0.5000488 0.5000515 0.5000473
[1813,] 0.5000490 0.5000499 0.5000483 0.5000510 0.5000468
[1814,] 0.5000485 0.5000494 0.5000478 0.5000504 0.5000463
[1815,] 0.5000480 0.5000489 0.5000473 0.5000499 0.5000458
[1816,] 0.5000475 0.5000484 0.5000468 0.5000494 0.5000453
[1817,] 0.5000470 0.5000478 0.5000463 0.5000489 0.5000448
[1818,] 0.5000464 0.5000473 0.5000458 0.5000484 0.5000443
[1819,] 0.5000459 0.5000468 0.5000453 0.5000478 0.5000438
[1820,] 0.5000454 0.5000463 0.5000448 0.5000473 0.5000433
[1821,] 0.5000449 0.5000458 0.5000443 0.5000468 0.5000428
[1822,] 0.5000444 0.5000453 0.5000438 0.5000463 0.5000423
[1823,] 0.5000440 0.5000448 0.5000433 0.5000458 0.5000418
[1824,] 0.5000435 0.5000443 0.5000428 0.5000453 0.5000414
[1825,] 0.5000430 0.5000438 0.5000423 0.5000448 0.5000409
[1826,] 0.5000425 0.5000434 0.5000419 0.5000443 0.5000404
[1827,] 0.5000420 0.5000429 0.5000414 0.5000438 0.5000400
[1828,] 0.5000415 0.5000424 0.5000409 0.5000434 0.5000395
[1829,] 0.5000411 0.5000419 0.5000405 0.5000429 0.5000390
[1830,] 0.5000406 0.5000414 0.5000400 0.5000424 0.5000386
[1831,] 0.5000401 0.5000410 0.5000395 0.5000419 0.5000381
[1832,] 0.5000397 0.5000405 0.5000391 0.5000414 0.5000377
[1833,] 0.5000392 0.5000400 0.5000386 0.5000410 0.5000372
[1834,] 0.5000387 0.5000396 0.5000382 0.5000405 0.5000368
[1835,] 0.5000383 0.5000391 0.5000377 0.5000400 0.5000363
[1836,] 0.5000378 0.5000386 0.5000373 0.5000396 0.5000359
[1837,] 0.5000374 0.5000382 0.5000368 0.5000391 0.5000355
[1838,] 0.5000369 0.5000377 0.5000364 0.5000386 0.5000350
[1839,] 0.5000365 0.5000373 0.5000359 0.5000382 0.5000346
[1840,] 0.5000360 0.5000368 0.5000355 0.5000377 0.5000342
[1841,] 0.5000356 0.5000364 0.5000351 0.5000373 0.5000338
[1842,] 0.5000352 0.5000360 0.5000346 0.5000368 0.5000333
[1843,] 0.5000347 0.5000355 0.5000342 0.5000364 0.5000329
[1844,] 0.5000343 0.5000351 0.5000338 0.5000360 0.5000325
[1845,] 0.5000339 0.5000347 0.5000334 0.5000355 0.5000321
[1846,] 0.5000334 0.5000342 0.5000329 0.5000351 0.5000317
[1847,] 0.5000330 0.5000338 0.5000325 0.5000347 0.5000313
[1848,] 0.5000326 0.5000334 0.5000321 0.5000342 0.5000309
[1849,] 0.5000322 0.5000330 0.5000317 0.5000338 0.5000305
[1850,] 0.5000318 0.5000326 0.5000313 0.5000334 0.5000301
[1851,] 0.5000314 0.5000321 0.5000309 0.5000330 0.5000297
[1852,] 0.5000310 0.5000317 0.5000305 0.5000326 0.5000293
[1853,] 0.5000306 0.5000313 0.5000301 0.5000321 0.5000289
[1854,] 0.5000302 0.5000309 0.5000297 0.5000317 0.5000285
[1855,] 0.5000298 0.5000305 0.5000293 0.5000313 0.5000281
[1856,] 0.5000294 0.5000301 0.5000289 0.5000309 0.5000277
[1857,] 0.5000290 0.5000297 0.5000285 0.5000305 0.5000274
[1858,] 0.5000286 0.5000293 0.5000282 0.5000301 0.5000270
[1859,] 0.5000282 0.5000289 0.5000278 0.5000297 0.5000266
[1860,] 0.5000278 0.5000286 0.5000274 0.5000293 0.5000263
[1861,] 0.5000274 0.5000282 0.5000270 0.5000289 0.5000259
[1862,] 0.5000271 0.5000278 0.5000267 0.5000286 0.5000255
[1863,] 0.5000267 0.5000274 0.5000263 0.5000282 0.5000252
[1864,] 0.5000263 0.5000270 0.5000259 0.5000278 0.5000248
[1865,] 0.5000260 0.5000267 0.5000256 0.5000274 0.5000245
[1866,] 0.5000256 0.5000263 0.5000252 0.5000270 0.5000241
[1867,] 0.5000252 0.5000259 0.5000248 0.5000267 0.5000238
[1868,] 0.5000249 0.5000256 0.5000245 0.5000263 0.5000234
[1869,] 0.5000245 0.5000252 0.5000241 0.5000259 0.5000231
[1870,] 0.5000242 0.5000249 0.5000238 0.5000256 0.5000227
[1871,] 0.5000238 0.5000245 0.5000234 0.5000252 0.5000224
[1872,] 0.5000235 0.5000242 0.5000231 0.5000249 0.5000221
[1873,] 0.5000231 0.5000238 0.5000228 0.5000245 0.5000217
[1874,] 0.5000228 0.5000235 0.5000224 0.5000241 0.5000214
[1875,] 0.5000224 0.5000231 0.5000221 0.5000238 0.5000211
[1876,] 0.5000221 0.5000228 0.5000218 0.5000235 0.5000207
[1877,] 0.5000218 0.5000224 0.5000214 0.5000231 0.5000204
[1878,] 0.5000214 0.5000221 0.5000211 0.5000228 0.5000201
[1879,] 0.5000211 0.5000218 0.5000208 0.5000224 0.5000198
[1880,] 0.5000208 0.5000214 0.5000205 0.5000221 0.5000195
[1881,] 0.5000205 0.5000211 0.5000201 0.5000218 0.5000192
[1882,] 0.5000201 0.5000208 0.5000198 0.5000214 0.5000189
[1883,] 0.5000198 0.5000205 0.5000195 0.5000211 0.5000186
[1884,] 0.5000195 0.5000202 0.5000192 0.5000208 0.5000183
[1885,] 0.5000192 0.5000198 0.5000189 0.5000205 0.5000180
[1886,] 0.5000189 0.5000195 0.5000186 0.5000201 0.5000177
[1887,] 0.5000186 0.5000192 0.5000183 0.5000198 0.5000174
[1888,] 0.5000183 0.5000189 0.5000180 0.5000195 0.5000171
[1889,] 0.5000180 0.5000186 0.5000177 0.5000192 0.5000168
[1890,] 0.5000177 0.5000183 0.5000174 0.5000189 0.5000165
[1891,] 0.5000174 0.5000180 0.5000171 0.5000186 0.5000162
[1892,] 0.5000171 0.5000177 0.5000168 0.5000183 0.5000159
[1893,] 0.5000168 0.5000174 0.5000165 0.5000180 0.5000157
[1894,] 0.5000165 0.5000171 0.5000163 0.5000177 0.5000154
[1895,] 0.5000162 0.5000168 0.5000160 0.5000174 0.5000151
[1896,] 0.5000160 0.5000165 0.5000157 0.5000171 0.5000148
[1897,] 0.5000157 0.5000163 0.5000154 0.5000168 0.5000146
[1898,] 0.5000154 0.5000160 0.5000151 0.5000165 0.5000143
[1899,] 0.5000151 0.5000157 0.5000149 0.5000163 0.5000141
[1900,] 0.5000149 0.5000154 0.5000146 0.5000160 0.5000138
[1901,] 0.5000146 0.5000152 0.5000143 0.5000157 0.5000135
[1902,] 0.5000143 0.5000149 0.5000141 0.5000154 0.5000133
[1903,] 0.5000141 0.5000146 0.5000138 0.5000151 0.5000130
[1904,] 0.5000138 0.5000144 0.5000136 0.5000149 0.5000128
[1905,] 0.5000135 0.5000141 0.5000133 0.5000146 0.5000125
[1906,] 0.5000133 0.5000138 0.5000131 0.5000143 0.5000123
[1907,] 0.5000130 0.5000136 0.5000128 0.5000141 0.5000120
[1908,] 0.5000128 0.5000133 0.5000126 0.5000138 0.5000118
[1909,] 0.5000125 0.5000131 0.5000123 0.5000136 0.5000116
[1910,] 0.5000123 0.5000128 0.5000121 0.5000133 0.5000113
[1911,] 0.5000120 0.5000126 0.5000118 0.5000131 0.5000111
[1912,] 0.5000118 0.5000123 0.5000116 0.5000128 0.5000109
[1913,] 0.5000116 0.5000121 0.5000114 0.5000126 0.5000106
[1914,] 0.5000113 0.5000118 0.5000111 0.5000123 0.5000104
[1915,] 0.5000111 0.5000116 0.5000109 0.5000121 0.5000102
[1916,] 0.5000109 0.5000114 0.5000107 0.5000118 0.5000100
[1917,] 0.5000106 0.5000111 0.5000104 0.5000116 0.5000097
[1918,] 0.5000104 0.5000109 0.5000102 0.5000114 0.5000095
[1919,] 0.5000102 0.5000107 0.5000100 0.5000111 0.5000093
[1920,] 0.5000099 0.5000104 0.5000098 0.5000109 0.5000091
[1921,] 0.5000097 0.5000102 0.5000096 0.5000107 0.5000089
[1922,] 0.5000095 0.5000100 0.5000093 0.5000104 0.5000087
[1923,] 0.5000093 0.5000098 0.5000091 0.5000102 0.5000085
[1924,] 0.5000091 0.5000096 0.5000089 0.5000100 0.5000083
[1925,] 0.5000089 0.5000093 0.5000087 0.5000098 0.5000081
[1926,] 0.5000087 0.5000091 0.5000085 0.5000096 0.5000079
[1927,] 0.5000085 0.5000089 0.5000083 0.5000093 0.5000077
[1928,] 0.5000083 0.5000087 0.5000081 0.5000091 0.5000075
[1929,] 0.5000081 0.5000085 0.5000079 0.5000089 0.5000073
[1930,] 0.5000079 0.5000083 0.5000077 0.5000087 0.5000071
[1931,] 0.5000077 0.5000081 0.5000075 0.5000085 0.5000069
[1932,] 0.5000075 0.5000079 0.5000073 0.5000083 0.5000067
[1933,] 0.5000073 0.5000077 0.5000071 0.5000081 0.5000065
[1934,] 0.5000071 0.5000075 0.5000069 0.5000079 0.5000064
[1935,] 0.5000069 0.5000073 0.5000068 0.5000077 0.5000062
[1936,] 0.5000067 0.5000071 0.5000066 0.5000075 0.5000060
[1937,] 0.5000065 0.5000069 0.5000064 0.5000073 0.5000058
[1938,] 0.5000063 0.5000068 0.5000062 0.5000071 0.5000057
[1939,] 0.5000062 0.5000066 0.5000060 0.5000069 0.5000055
[1940,] 0.5000060 0.5000064 0.5000059 0.5000067 0.5000053
[1941,] 0.5000058 0.5000062 0.5000057 0.5000066 0.5000051
[1942,] 0.5000056 0.5000060 0.5000055 0.5000064 0.5000050
[1943,] 0.5000055 0.5000059 0.5000053 0.5000062 0.5000048
[1944,] 0.5000053 0.5000057 0.5000052 0.5000060 0.5000047
[1945,] 0.5000051 0.5000055 0.5000050 0.5000058 0.5000045
[1946,] 0.5000049 0.5000053 0.5000048 0.5000057 0.5000043
[1947,] 0.5000048 0.5000052 0.5000047 0.5000055 0.5000042
[1948,] 0.5000046 0.5000050 0.5000045 0.5000053 0.5000040
[1949,] 0.5000045 0.5000048 0.5000044 0.5000052 0.5000039
[1950,] 0.5000043 0.5000047 0.5000042 0.5000050 0.5000037
[1951,] 0.5000041 0.5000045 0.5000041 0.5000048 0.5000036
[1952,] 0.5000040 0.5000044 0.5000039 0.5000047 0.5000034
[1953,] 0.5000038 0.5000042 0.5000037 0.5000045 0.5000033
[1954,] 0.5000037 0.5000041 0.5000036 0.5000044 0.5000031
[1955,] 0.5000035 0.5000039 0.5000035 0.5000042 0.5000030
[1956,] 0.5000034 0.5000037 0.5000033 0.5000040 0.5000029
[1957,] 0.5000032 0.5000036 0.5000032 0.5000039 0.5000027
[1958,] 0.5000031 0.5000035 0.5000030 0.5000037 0.5000026
[1959,] 0.5000030 0.5000033 0.5000029 0.5000036 0.5000025
[1960,] 0.5000028 0.5000032 0.5000027 0.5000034 0.5000023
[1961,] 0.5000027 0.5000030 0.5000026 0.5000033 0.5000022
[1962,] 0.5000025 0.5000029 0.5000025 0.5000032 0.5000021
[1963,] 0.5000024 0.5000027 0.5000023 0.5000030 0.5000019
[1964,] 0.5000023 0.5000026 0.5000022 0.5000029 0.5000018
[1965,] 0.5000021 0.5000025 0.5000021 0.5000027 0.5000017
[1966,] 0.5000020 0.5000023 0.5000020 0.5000026 0.5000016
[1967,] 0.5000019 0.5000022 0.5000018 0.5000025 0.5000014
[1968,] 0.5000018 0.5000021 0.5000017 0.5000023 0.5000013
[1969,] 0.5000016 0.5000020 0.5000016 0.5000022 0.5000012
[1970,] 0.5000015 0.5000018 0.5000015 0.5000021 0.5000011
[1971,] 0.5000014 0.5000017 0.5000013 0.5000019 0.5000010
[1972,] 0.5000013 0.5000016 0.5000012 0.5000018 0.5000009
[1973,] 0.5000012 0.5000015 0.5000011 0.5000017 0.5000008
[1974,] 0.5000010 0.5000013 0.5000010 0.5000016 0.5000007
[1975,] 0.5000009 0.5000012 0.5000009 0.5000015 0.5000005
[1976,] 0.5000008 0.5000011 0.5000008 0.5000013 0.5000004
[1977,] 0.5000007 0.5000010 0.5000007 0.5000012 0.5000003
[1978,] 0.5000006 0.5000009 0.5000006 0.5000011 0.5000002
[1979,] 0.5000005 0.5000008 0.5000005 0.5000010 0.5000001
[1980,] 0.5000004 0.5000007 0.5000004 0.5000009 0.5000000
[1981,] 0.5000003 0.5000006 0.5000003 0.5000008 0.4999999
[1982,] 0.5000002 0.5000005 0.5000001 0.5000007 0.4999998
[1983,] 0.5000001 0.5000003 0.5000000 0.5000006 0.4999997
[1984,] 0.5000000 0.5000002 0.5000000 0.5000004 0.4999996
[1985,] 0.4999999 0.5000001 0.4999999 0.5000003 0.4999996
[1986,] 0.4999998 0.5000000 0.4999998 0.5000002 0.4999995
[1987,] 0.4999997 0.4999999 0.4999997 0.5000001 0.4999994
[1988,] 0.4999996 0.4999998 0.4999996 0.5000000 0.4999993
[1989,] 0.4999995 0.4999998 0.4999995 0.4999999 0.4999992
[1990,] 0.4999994 0.4999997 0.4999994 0.4999998 0.4999991
[1991,] 0.4999993 0.4999996 0.4999993 0.4999997 0.4999990
[1992,] 0.4999992 0.4999995 0.4999992 0.4999997 0.4999989
[1993,] 0.4999991 0.4999994 0.4999991 0.4999996 0.4999989
[1994,] 0.4999991 0.4999993 0.4999990 0.4999995 0.4999988
[1995,] 0.4999990 0.4999992 0.4999990 0.4999994 0.4999987
[1996,] 0.4999989 0.4999991 0.4999989 0.4999993 0.4999986
[1997,] 0.4999988 0.4999990 0.4999988 0.4999992 0.4999985
[1998,] 0.4999987 0.4999990 0.4999987 0.4999991 0.4999985
[1999,] 0.4999987 0.4999989 0.4999986 0.4999990 0.4999984
[2000,] 0.4999986 0.4999988 0.4999986 0.4999990 0.4999983
[2001,] 0.4999985 0.4999987 0.4999985 0.4999989 0.4999983

$y0
     [,1] [,2]
[1,]  1.0  1.0
[2,]  2.0  2.0
[3,]  3.0  1.0
[4,]  0.5  3.0
[5,]  4.0  0.5

# Portret fazowy dla insulinooporności
flowField(model_metabolizmu,
          xlim = c(0, 6), ylim = c(0, 6),
          parameters = param_oporny,
          add = FALSE,
          xlab = "Glukoza", ylab = "Insulina",
          main = "Portret fazowy - insulinooporność")

$add
[1] FALSE

$arrow.head
[1] 0.05

$arrow.type
[1] "equal"

$col
[1] "gray"

$deriv
<srcref: file "" chars 10:22 to 23:1>
<bytecode: 0x000002165d2bcf90>

$dx
      [,1]  [,2]  [,3]   [,4]   [,5]   [,6]   [,7]   [,8]   [,9]  [,10] [,11]
 [1,]  0.5 0.500 0.500  0.500  0.500  0.500  0.500  0.500  0.500  0.500  0.50
 [2,]  0.5 0.491 0.482  0.473  0.464  0.455  0.446  0.437  0.428  0.419  0.41
 [3,]  0.5 0.482 0.464  0.446  0.428  0.410  0.392  0.374  0.356  0.338  0.32
 [4,]  0.5 0.473 0.446  0.419  0.392  0.365  0.338  0.311  0.284  0.257  0.23
 [5,]  0.5 0.464 0.428  0.392  0.356  0.320  0.284  0.248  0.212  0.176  0.14
 [6,]  0.5 0.455 0.410  0.365  0.320  0.275  0.230  0.185  0.140  0.095  0.05
 [7,]  0.5 0.446 0.392  0.338  0.284  0.230  0.176  0.122  0.068  0.014 -0.04
 [8,]  0.5 0.437 0.374  0.311  0.248  0.185  0.122  0.059 -0.004 -0.067 -0.13
 [9,]  0.5 0.428 0.356  0.284  0.212  0.140  0.068 -0.004 -0.076 -0.148 -0.22
[10,]  0.5 0.419 0.338  0.257  0.176  0.095  0.014 -0.067 -0.148 -0.229 -0.31
[11,]  0.5 0.410 0.320  0.230  0.140  0.050 -0.040 -0.130 -0.220 -0.310 -0.40
[12,]  0.5 0.401 0.302  0.203  0.104  0.005 -0.094 -0.193 -0.292 -0.391 -0.49
[13,]  0.5 0.392 0.284  0.176  0.068 -0.040 -0.148 -0.256 -0.364 -0.472 -0.58
[14,]  0.5 0.383 0.266  0.149  0.032 -0.085 -0.202 -0.319 -0.436 -0.553 -0.67
[15,]  0.5 0.374 0.248  0.122 -0.004 -0.130 -0.256 -0.382 -0.508 -0.634 -0.76
[16,]  0.5 0.365 0.230  0.095 -0.040 -0.175 -0.310 -0.445 -0.580 -0.715 -0.85
[17,]  0.5 0.356 0.212  0.068 -0.076 -0.220 -0.364 -0.508 -0.652 -0.796 -0.94
[18,]  0.5 0.347 0.194  0.041 -0.112 -0.265 -0.418 -0.571 -0.724 -0.877 -1.03
[19,]  0.5 0.338 0.176  0.014 -0.148 -0.310 -0.472 -0.634 -0.796 -0.958 -1.12
[20,]  0.5 0.329 0.158 -0.013 -0.184 -0.355 -0.526 -0.697 -0.868 -1.039 -1.21
[21,]  0.5 0.320 0.140 -0.040 -0.220 -0.400 -0.580 -0.760 -0.940 -1.120 -1.30
       [,12]  [,13]  [,14]  [,15]  [,16]  [,17]  [,18]  [,19]  [,20] [,21]
 [1,]  0.500  0.500  0.500  0.500  0.500  0.500  0.500  0.500  0.500  0.50
 [2,]  0.401  0.392  0.383  0.374  0.365  0.356  0.347  0.338  0.329  0.32
 [3,]  0.302  0.284  0.266  0.248  0.230  0.212  0.194  0.176  0.158  0.14
 [4,]  0.203  0.176  0.149  0.122  0.095  0.068  0.041  0.014 -0.013 -0.04
 [5,]  0.104  0.068  0.032 -0.004 -0.040 -0.076 -0.112 -0.148 -0.184 -0.22
 [6,]  0.005 -0.040 -0.085 -0.130 -0.175 -0.220 -0.265 -0.310 -0.355 -0.40
 [7,] -0.094 -0.148 -0.202 -0.256 -0.310 -0.364 -0.418 -0.472 -0.526 -0.58
 [8,] -0.193 -0.256 -0.319 -0.382 -0.445 -0.508 -0.571 -0.634 -0.697 -0.76
 [9,] -0.292 -0.364 -0.436 -0.508 -0.580 -0.652 -0.724 -0.796 -0.868 -0.94
[10,] -0.391 -0.472 -0.553 -0.634 -0.715 -0.796 -0.877 -0.958 -1.039 -1.12
[11,] -0.490 -0.580 -0.670 -0.760 -0.850 -0.940 -1.030 -1.120 -1.210 -1.30
[12,] -0.589 -0.688 -0.787 -0.886 -0.985 -1.084 -1.183 -1.282 -1.381 -1.48
[13,] -0.688 -0.796 -0.904 -1.012 -1.120 -1.228 -1.336 -1.444 -1.552 -1.66
[14,] -0.787 -0.904 -1.021 -1.138 -1.255 -1.372 -1.489 -1.606 -1.723 -1.84
[15,] -0.886 -1.012 -1.138 -1.264 -1.390 -1.516 -1.642 -1.768 -1.894 -2.02
[16,] -0.985 -1.120 -1.255 -1.390 -1.525 -1.660 -1.795 -1.930 -2.065 -2.20
[17,] -1.084 -1.228 -1.372 -1.516 -1.660 -1.804 -1.948 -2.092 -2.236 -2.38
[18,] -1.183 -1.336 -1.489 -1.642 -1.795 -1.948 -2.101 -2.254 -2.407 -2.56
[19,] -1.282 -1.444 -1.606 -1.768 -1.930 -2.092 -2.254 -2.416 -2.578 -2.74
[20,] -1.381 -1.552 -1.723 -1.894 -2.065 -2.236 -2.407 -2.578 -2.749 -2.92
[21,] -1.480 -1.660 -1.840 -2.020 -2.200 -2.380 -2.560 -2.740 -2.920 -3.10

$dy
            [,1]        [,2]         [,3]          [,4]       [,5]       [,6]
 [1,] 0.00000000 -0.30000000 -0.600000000 -9.000000e-01 -1.2000000 -1.5000000
 [2,] 0.08256881 -0.21743119 -0.517431193 -8.174312e-01 -1.1174312 -1.4174312
 [3,] 0.26470588 -0.03529412 -0.335294118 -6.352941e-01 -0.9352941 -1.2352941
 [4,] 0.44751381  0.14751381 -0.152486188 -4.524862e-01 -0.7524862 -1.0524862
 [5,] 0.59016393  0.29016393 -0.009836066 -3.098361e-01 -0.6098361 -0.9098361
 [6,] 0.69230769  0.39230769  0.092307692 -2.076923e-01 -0.5076923 -0.8076923
 [7,] 0.76415094  0.46415094  0.164150943 -1.358491e-01 -0.4358491 -0.7358491
 [8,] 0.81515712  0.51515712  0.215157116 -8.484288e-02 -0.3848429 -0.6848429
 [9,] 0.85207101  0.55207101  0.252071006 -4.792899e-02 -0.3479290 -0.6479290
[10,] 0.87937274  0.57937274  0.279372738 -2.062726e-02 -0.3206273 -0.6206273
[11,] 0.90000000  0.60000000  0.300000000  1.110223e-16 -0.3000000 -0.6000000
[12,] 0.91589571  0.61589571  0.315895711  1.589571e-02 -0.2841043 -0.5841043
[13,] 0.92836676  0.62836676  0.328366762  2.836676e-02 -0.2716332 -0.5716332
[14,] 0.93830969  0.63830969  0.338309685  3.830969e-02 -0.2616903 -0.5616903
[15,] 0.94635193  0.64635193  0.346351931  4.635193e-02 -0.2536481 -0.5536481
[16,] 0.95294118  0.65294118  0.352941176  5.294118e-02 -0.2470588 -0.5470588
[17,] 0.95840266  0.65840266  0.358402662  5.840266e-02 -0.2415973 -0.5415973
[18,] 0.96297668  0.66297668  0.362976675  6.297668e-02 -0.2370233 -0.5370233
[19,] 0.96684350  0.66684350  0.366843501  6.684350e-02 -0.2331565 -0.5331565
[20,] 0.97014034  0.67014034  0.370140340  7.014034e-02 -0.2298597 -0.5298597
[21,] 0.97297297  0.67297297  0.372972973  7.297297e-02 -0.2270270 -0.5270270
            [,7]      [,8]      [,9]     [,10]     [,11]     [,12]     [,13]
 [1,] -1.8000000 -2.100000 -2.400000 -2.700000 -3.000000 -3.300000 -3.600000
 [2,] -1.7174312 -2.017431 -2.317431 -2.617431 -2.917431 -3.217431 -3.517431
 [3,] -1.5352941 -1.835294 -2.135294 -2.435294 -2.735294 -3.035294 -3.335294
 [4,] -1.3524862 -1.652486 -1.952486 -2.252486 -2.552486 -2.852486 -3.152486
 [5,] -1.2098361 -1.509836 -1.809836 -2.109836 -2.409836 -2.709836 -3.009836
 [6,] -1.1076923 -1.407692 -1.707692 -2.007692 -2.307692 -2.607692 -2.907692
 [7,] -1.0358491 -1.335849 -1.635849 -1.935849 -2.235849 -2.535849 -2.835849
 [8,] -0.9848429 -1.284843 -1.584843 -1.884843 -2.184843 -2.484843 -2.784843
 [9,] -0.9479290 -1.247929 -1.547929 -1.847929 -2.147929 -2.447929 -2.747929
[10,] -0.9206273 -1.220627 -1.520627 -1.820627 -2.120627 -2.420627 -2.720627
[11,] -0.9000000 -1.200000 -1.500000 -1.800000 -2.100000 -2.400000 -2.700000
[12,] -0.8841043 -1.184104 -1.484104 -1.784104 -2.084104 -2.384104 -2.684104
[13,] -0.8716332 -1.171633 -1.471633 -1.771633 -2.071633 -2.371633 -2.671633
[14,] -0.8616903 -1.161690 -1.461690 -1.761690 -2.061690 -2.361690 -2.661690
[15,] -0.8536481 -1.153648 -1.453648 -1.753648 -2.053648 -2.353648 -2.653648
[16,] -0.8470588 -1.147059 -1.447059 -1.747059 -2.047059 -2.347059 -2.647059
[17,] -0.8415973 -1.141597 -1.441597 -1.741597 -2.041597 -2.341597 -2.641597
[18,] -0.8370233 -1.137023 -1.437023 -1.737023 -2.037023 -2.337023 -2.637023
[19,] -0.8331565 -1.133156 -1.433156 -1.733156 -2.033156 -2.333156 -2.633156
[20,] -0.8298597 -1.129860 -1.429860 -1.729860 -2.029860 -2.329860 -2.629860
[21,] -0.8270270 -1.127027 -1.427027 -1.727027 -2.027027 -2.327027 -2.627027
          [,14]     [,15]     [,16]     [,17]     [,18]     [,19]     [,20]
 [1,] -3.900000 -4.200000 -4.500000 -4.800000 -5.100000 -5.400000 -5.700000
 [2,] -3.817431 -4.117431 -4.417431 -4.717431 -5.017431 -5.317431 -5.617431
 [3,] -3.635294 -3.935294 -4.235294 -4.535294 -4.835294 -5.135294 -5.435294
 [4,] -3.452486 -3.752486 -4.052486 -4.352486 -4.652486 -4.952486 -5.252486
 [5,] -3.309836 -3.609836 -3.909836 -4.209836 -4.509836 -4.809836 -5.109836
 [6,] -3.207692 -3.507692 -3.807692 -4.107692 -4.407692 -4.707692 -5.007692
 [7,] -3.135849 -3.435849 -3.735849 -4.035849 -4.335849 -4.635849 -4.935849
 [8,] -3.084843 -3.384843 -3.684843 -3.984843 -4.284843 -4.584843 -4.884843
 [9,] -3.047929 -3.347929 -3.647929 -3.947929 -4.247929 -4.547929 -4.847929
[10,] -3.020627 -3.320627 -3.620627 -3.920627 -4.220627 -4.520627 -4.820627
[11,] -3.000000 -3.300000 -3.600000 -3.900000 -4.200000 -4.500000 -4.800000
[12,] -2.984104 -3.284104 -3.584104 -3.884104 -4.184104 -4.484104 -4.784104
[13,] -2.971633 -3.271633 -3.571633 -3.871633 -4.171633 -4.471633 -4.771633
[14,] -2.961690 -3.261690 -3.561690 -3.861690 -4.161690 -4.461690 -4.761690
[15,] -2.953648 -3.253648 -3.553648 -3.853648 -4.153648 -4.453648 -4.753648
[16,] -2.947059 -3.247059 -3.547059 -3.847059 -4.147059 -4.447059 -4.747059
[17,] -2.941597 -3.241597 -3.541597 -3.841597 -4.141597 -4.441597 -4.741597
[18,] -2.937023 -3.237023 -3.537023 -3.837023 -4.137023 -4.437023 -4.737023
[19,] -2.933156 -3.233156 -3.533156 -3.833156 -4.133156 -4.433156 -4.733156
[20,] -2.929860 -3.229860 -3.529860 -3.829860 -4.129860 -4.429860 -4.729860
[21,] -2.927027 -3.227027 -3.527027 -3.827027 -4.127027 -4.427027 -4.727027
          [,21]
 [1,] -6.000000
 [2,] -5.917431
 [3,] -5.735294
 [4,] -5.552486
 [5,] -5.409836
 [6,] -5.307692
 [7,] -5.235849
 [8,] -5.184843
 [9,] -5.147929
[10,] -5.120627
[11,] -5.100000
[12,] -5.084104
[13,] -5.071633
[14,] -5.061690
[15,] -5.053648
[16,] -5.047059
[17,] -5.041597
[18,] -5.037023
[19,] -5.033156
[20,] -5.029860
[21,] -5.027027

$frac
[1] 1

$parameters
 wrażliwość wydzielanie  degradacja        beta 
        0.1         1.0         1.0         1.0 

$points
[1] 21

$system
[1] "two.dim"

$x
 [1] 0.0 0.3 0.6 0.9 1.2 1.5 1.8 2.1 2.4 2.7 3.0 3.3 3.6 3.9 4.2 4.5 4.8 5.1 5.4
[20] 5.7 6.0

$xlab
[1] "Glukoza"

$xlim
[1] 0 6

$y
 [1] 0.0 0.3 0.6 0.9 1.2 1.5 1.8 2.1 2.4 2.7 3.0 3.3 3.6 3.9 4.2 4.5 4.8 5.1 5.4
[20] 5.7 6.0

$ylab
[1] "Insulina"

$ylim
[1] 0 6

nullclines(model_metabolizmu, 
           xlim = c(0, 6), ylim = c(0, 6), 
           parameters = param_oporny, 
           points = 300)

$add
[1] TRUE

$add.legend
[1] TRUE

$col
[1] "blue" "cyan"

$deriv
<srcref: file "" chars 10:22 to 23:1>
<bytecode: 0x000002165d2bcf90>

$dx
       [,1]      [,2]      [,3]      [,4]      [,5]      [,6]      [,7]
  [1,]  0.5 0.5000000 0.5000000 0.5000000 0.5000000 0.5000000 0.5000000
  [2,]  0.5 0.4999597 0.4999195 0.4998792 0.4998389 0.4997987 0.4997584
  [3,]  0.5 0.4999195 0.4998389 0.4997584 0.4996779 0.4995973 0.4995168
  [4,]  0.5 0.4998792 0.4997584 0.4996376 0.4995168 0.4993960 0.4992752
  [5,]  0.5 0.4998389 0.4996779 0.4995168 0.4993557 0.4991946 0.4990336
  [6,]  0.5 0.4997987 0.4995973 0.4993960 0.4991946 0.4989933 0.4987920
  [7,]  0.5 0.4997584 0.4995168 0.4992752 0.4990336 0.4987920 0.4985504
  [8,]  0.5 0.4997181 0.4994362 0.4991544 0.4988725 0.4985906 0.4983087
  [9,]  0.5 0.4996779 0.4993557 0.4990336 0.4987114 0.4983893 0.4980671
 [10,]  0.5 0.4996376 0.4992752 0.4989128 0.4985504 0.4981879 0.4978255
 [11,]  0.5 0.4995973 0.4991946 0.4987920 0.4983893 0.4979866 0.4975839
 [12,]  0.5 0.4995571 0.4991141 0.4986712 0.4982282 0.4977853 0.4973423
 [13,]  0.5 0.4995168 0.4990336 0.4985504 0.4980671 0.4975839 0.4971007
 [14,]  0.5 0.4994765 0.4989530 0.4984295 0.4979061 0.4973826 0.4968591
 [15,]  0.5 0.4994362 0.4988725 0.4983087 0.4977450 0.4971812 0.4966175
 [16,]  0.5 0.4993960 0.4987920 0.4981879 0.4975839 0.4969799 0.4963759
 [17,]  0.5 0.4993557 0.4987114 0.4980671 0.4974228 0.4967786 0.4961343
 [18,]  0.5 0.4993154 0.4986309 0.4979463 0.4972618 0.4965772 0.4958927
 [19,]  0.5 0.4992752 0.4985504 0.4978255 0.4971007 0.4963759 0.4956511
 [20,]  0.5 0.4992349 0.4984698 0.4977047 0.4969396 0.4961745 0.4954094
 [21,]  0.5 0.4991946 0.4983893 0.4975839 0.4967786 0.4959732 0.4951678
 [22,]  0.5 0.4991544 0.4983087 0.4974631 0.4966175 0.4957719 0.4949262
 [23,]  0.5 0.4991141 0.4982282 0.4973423 0.4964564 0.4955705 0.4946846
 [24,]  0.5 0.4990738 0.4981477 0.4972215 0.4962953 0.4953692 0.4944430
 [25,]  0.5 0.4990336 0.4980671 0.4971007 0.4961343 0.4951678 0.4942014
 [26,]  0.5 0.4989933 0.4979866 0.4969799 0.4959732 0.4949665 0.4939598
 [27,]  0.5 0.4989530 0.4979061 0.4968591 0.4958121 0.4947652 0.4937182
 [28,]  0.5 0.4989128 0.4978255 0.4967383 0.4956511 0.4945638 0.4934766
 [29,]  0.5 0.4988725 0.4977450 0.4966175 0.4954900 0.4943625 0.4932350
 [30,]  0.5 0.4988322 0.4976645 0.4964967 0.4953289 0.4941611 0.4929934
 [31,]  0.5 0.4987920 0.4975839 0.4963759 0.4951678 0.4939598 0.4927518
 [32,]  0.5 0.4987517 0.4975034 0.4962551 0.4950068 0.4937585 0.4925102
 [33,]  0.5 0.4987114 0.4974228 0.4961343 0.4948457 0.4935571 0.4922685
 [34,]  0.5 0.4986712 0.4973423 0.4960135 0.4946846 0.4933558 0.4920269
 [35,]  0.5 0.4986309 0.4972618 0.4958927 0.4945236 0.4931544 0.4917853
 [36,]  0.5 0.4985906 0.4971812 0.4957719 0.4943625 0.4929531 0.4915437
 [37,]  0.5 0.4985504 0.4971007 0.4956511 0.4942014 0.4927518 0.4913021
 [38,]  0.5 0.4985101 0.4970202 0.4955303 0.4940403 0.4925504 0.4910605
 [39,]  0.5 0.4984698 0.4969396 0.4954094 0.4938793 0.4923491 0.4908189
 [40,]  0.5 0.4984295 0.4968591 0.4952886 0.4937182 0.4921477 0.4905773
 [41,]  0.5 0.4983893 0.4967786 0.4951678 0.4935571 0.4919464 0.4903357
 [42,]  0.5 0.4983490 0.4966980 0.4950470 0.4933960 0.4917451 0.4900941
 [43,]  0.5 0.4983087 0.4966175 0.4949262 0.4932350 0.4915437 0.4898525
 [44,]  0.5 0.4982685 0.4965370 0.4948054 0.4930739 0.4913424 0.4896109
 [45,]  0.5 0.4982282 0.4964564 0.4946846 0.4929128 0.4911410 0.4893692
 [46,]  0.5 0.4981879 0.4963759 0.4945638 0.4927518 0.4909397 0.4891276
 [47,]  0.5 0.4981477 0.4962953 0.4944430 0.4925907 0.4907384 0.4888860
 [48,]  0.5 0.4981074 0.4962148 0.4943222 0.4924296 0.4905370 0.4886444
 [49,]  0.5 0.4980671 0.4961343 0.4942014 0.4922685 0.4903357 0.4884028
 [50,]  0.5 0.4980269 0.4960537 0.4940806 0.4921075 0.4901343 0.4881612
 [51,]  0.5 0.4979866 0.4959732 0.4939598 0.4919464 0.4899330 0.4879196
 [52,]  0.5 0.4979463 0.4958927 0.4938390 0.4917853 0.4897317 0.4876780
 [53,]  0.5 0.4979061 0.4958121 0.4937182 0.4916243 0.4895303 0.4874364
 [54,]  0.5 0.4978658 0.4957316 0.4935974 0.4914632 0.4893290 0.4871948
 [55,]  0.5 0.4978255 0.4956511 0.4934766 0.4913021 0.4891276 0.4869532
 [56,]  0.5 0.4977853 0.4955705 0.4933558 0.4911410 0.4889263 0.4867116
 [57,]  0.5 0.4977450 0.4954900 0.4932350 0.4909800 0.4887250 0.4864700
 [58,]  0.5 0.4977047 0.4954094 0.4931142 0.4908189 0.4885236 0.4862283
 [59,]  0.5 0.4976645 0.4953289 0.4929934 0.4906578 0.4883223 0.4859867
 [60,]  0.5 0.4976242 0.4952484 0.4928726 0.4904968 0.4881209 0.4857451
 [61,]  0.5 0.4975839 0.4951678 0.4927518 0.4903357 0.4879196 0.4855035
 [62,]  0.5 0.4975437 0.4950873 0.4926310 0.4901746 0.4877183 0.4852619
 [63,]  0.5 0.4975034 0.4950068 0.4925102 0.4900135 0.4875169 0.4850203
 [64,]  0.5 0.4974631 0.4949262 0.4923893 0.4898525 0.4873156 0.4847787
 [65,]  0.5 0.4974228 0.4948457 0.4922685 0.4896914 0.4871142 0.4845371
 [66,]  0.5 0.4973826 0.4947652 0.4921477 0.4895303 0.4869129 0.4842955
 [67,]  0.5 0.4973423 0.4946846 0.4920269 0.4893692 0.4867116 0.4840539
 [68,]  0.5 0.4973020 0.4946041 0.4919061 0.4892082 0.4865102 0.4838123
 [69,]  0.5 0.4972618 0.4945236 0.4917853 0.4890471 0.4863089 0.4835707
 [70,]  0.5 0.4972215 0.4944430 0.4916645 0.4888860 0.4861075 0.4833290
 [71,]  0.5 0.4971812 0.4943625 0.4915437 0.4887250 0.4859062 0.4830874
 [72,]  0.5 0.4971410 0.4942819 0.4914229 0.4885639 0.4857049 0.4828458
 [73,]  0.5 0.4971007 0.4942014 0.4913021 0.4884028 0.4855035 0.4826042
 [74,]  0.5 0.4970604 0.4941209 0.4911813 0.4882417 0.4853022 0.4823626
 [75,]  0.5 0.4970202 0.4940403 0.4910605 0.4880807 0.4851008 0.4821210
 [76,]  0.5 0.4969799 0.4939598 0.4909397 0.4879196 0.4848995 0.4818794
 [77,]  0.5 0.4969396 0.4938793 0.4908189 0.4877585 0.4846982 0.4816378
 [78,]  0.5 0.4968994 0.4937987 0.4906981 0.4875975 0.4844968 0.4813962
 [79,]  0.5 0.4968591 0.4937182 0.4905773 0.4874364 0.4842955 0.4811546
 [80,]  0.5 0.4968188 0.4936377 0.4904565 0.4872753 0.4840941 0.4809130
 [81,]  0.5 0.4967786 0.4935571 0.4903357 0.4871142 0.4838928 0.4806714
 [82,]  0.5 0.4967383 0.4934766 0.4902149 0.4869532 0.4836915 0.4804297
 [83,]  0.5 0.4966980 0.4933960 0.4900941 0.4867921 0.4834901 0.4801881
 [84,]  0.5 0.4966578 0.4933155 0.4899733 0.4866310 0.4832888 0.4799465
 [85,]  0.5 0.4966175 0.4932350 0.4898525 0.4864700 0.4830874 0.4797049
 [86,]  0.5 0.4965772 0.4931544 0.4897317 0.4863089 0.4828861 0.4794633
 [87,]  0.5 0.4965370 0.4930739 0.4896109 0.4861478 0.4826848 0.4792217
 [88,]  0.5 0.4964967 0.4929934 0.4894901 0.4859867 0.4824834 0.4789801
 [89,]  0.5 0.4964564 0.4929128 0.4893692 0.4858257 0.4822821 0.4787385
 [90,]  0.5 0.4964161 0.4928323 0.4892484 0.4856646 0.4820807 0.4784969
 [91,]  0.5 0.4963759 0.4927518 0.4891276 0.4855035 0.4818794 0.4782553
 [92,]  0.5 0.4963356 0.4926712 0.4890068 0.4853424 0.4816781 0.4780137
 [93,]  0.5 0.4962953 0.4925907 0.4888860 0.4851814 0.4814767 0.4777721
 [94,]  0.5 0.4962551 0.4925102 0.4887652 0.4850203 0.4812754 0.4775305
 [95,]  0.5 0.4962148 0.4924296 0.4886444 0.4848592 0.4810740 0.4772888
 [96,]  0.5 0.4961745 0.4923491 0.4885236 0.4846982 0.4808727 0.4770472
 [97,]  0.5 0.4961343 0.4922685 0.4884028 0.4845371 0.4806714 0.4768056
 [98,]  0.5 0.4960940 0.4921880 0.4882820 0.4843760 0.4804700 0.4765640
 [99,]  0.5 0.4960537 0.4921075 0.4881612 0.4842149 0.4802687 0.4763224
[100,]  0.5 0.4960135 0.4920269 0.4880404 0.4840539 0.4800673 0.4760808
[101,]  0.5 0.4959732 0.4919464 0.4879196 0.4838928 0.4798660 0.4758392
[102,]  0.5 0.4959329 0.4918659 0.4877988 0.4837317 0.4796647 0.4755976
[103,]  0.5 0.4958927 0.4917853 0.4876780 0.4835707 0.4794633 0.4753560
[104,]  0.5 0.4958524 0.4917048 0.4875572 0.4834096 0.4792620 0.4751144
[105,]  0.5 0.4958121 0.4916243 0.4874364 0.4832485 0.4790606 0.4748728
[106,]  0.5 0.4957719 0.4915437 0.4873156 0.4830874 0.4788593 0.4746312
[107,]  0.5 0.4957316 0.4914632 0.4871948 0.4829264 0.4786580 0.4743895
[108,]  0.5 0.4956913 0.4913826 0.4870740 0.4827653 0.4784566 0.4741479
[109,]  0.5 0.4956511 0.4913021 0.4869532 0.4826042 0.4782553 0.4739063
[110,]  0.5 0.4956108 0.4912216 0.4868324 0.4824431 0.4780539 0.4736647
[111,]  0.5 0.4955705 0.4911410 0.4867116 0.4822821 0.4778526 0.4734231
[112,]  0.5 0.4955303 0.4910605 0.4865908 0.4821210 0.4776513 0.4731815
[113,]  0.5 0.4954900 0.4909800 0.4864700 0.4819599 0.4774499 0.4729399
[114,]  0.5 0.4954497 0.4908994 0.4863491 0.4817989 0.4772486 0.4726983
[115,]  0.5 0.4954094 0.4908189 0.4862283 0.4816378 0.4770472 0.4724567
[116,]  0.5 0.4953692 0.4907384 0.4861075 0.4814767 0.4768459 0.4722151
[117,]  0.5 0.4953289 0.4906578 0.4859867 0.4813156 0.4766446 0.4719735
[118,]  0.5 0.4952886 0.4905773 0.4858659 0.4811546 0.4764432 0.4717319
[119,]  0.5 0.4952484 0.4904968 0.4857451 0.4809935 0.4762419 0.4714903
[120,]  0.5 0.4952081 0.4904162 0.4856243 0.4808324 0.4760405 0.4712486
[121,]  0.5 0.4951678 0.4903357 0.4855035 0.4806714 0.4758392 0.4710070
[122,]  0.5 0.4951276 0.4902551 0.4853827 0.4805103 0.4756379 0.4707654
[123,]  0.5 0.4950873 0.4901746 0.4852619 0.4803492 0.4754365 0.4705238
[124,]  0.5 0.4950470 0.4900941 0.4851411 0.4801881 0.4752352 0.4702822
[125,]  0.5 0.4950068 0.4900135 0.4850203 0.4800271 0.4750338 0.4700406
[126,]  0.5 0.4949665 0.4899330 0.4848995 0.4798660 0.4748325 0.4697990
[127,]  0.5 0.4949262 0.4898525 0.4847787 0.4797049 0.4746312 0.4695574
[128,]  0.5 0.4948860 0.4897719 0.4846579 0.4795439 0.4744298 0.4693158
[129,]  0.5 0.4948457 0.4896914 0.4845371 0.4793828 0.4742285 0.4690742
[130,]  0.5 0.4948054 0.4896109 0.4844163 0.4792217 0.4740271 0.4688326
[131,]  0.5 0.4947652 0.4895303 0.4842955 0.4790606 0.4738258 0.4685910
[132,]  0.5 0.4947249 0.4894498 0.4841747 0.4788996 0.4736245 0.4683493
[133,]  0.5 0.4946846 0.4893692 0.4840539 0.4787385 0.4734231 0.4681077
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[300,]  0.5 0.4879599 0.4759197 0.4638796 0.4518395 0.4397993 0.4277592
            [,8]      [,9]     [,10]     [,11]     [,12]     [,13]     [,14]
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[108,] 0.4698393 0.4655306 0.4612219 0.4569132 0.4526046 0.4482959 0.4439872
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[111,] 0.4689936 0.4645642 0.4601347 0.4557052 0.4512757 0.4468462 0.4424168
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 [78,] 0.4348866 0.4317860 0.4286854 0.4255847 0.4224841 0.4193835 0.4162828
 [79,] 0.4340410 0.4309001 0.4277592 0.4246183 0.4214774 0.4183365 0.4151956
 [80,] 0.4331954 0.4300142 0.4268330 0.4236519 0.4204707 0.4172895 0.4141083
 [81,] 0.4323498 0.4291283 0.4259069 0.4226854 0.4194640 0.4162425 0.4130211
 [82,] 0.4315041 0.4282424 0.4249807 0.4217190 0.4184573 0.4151956 0.4119339
 [83,] 0.4306585 0.4273565 0.4240545 0.4207526 0.4174506 0.4141486 0.4108466
 [84,] 0.4298129 0.4264706 0.4231284 0.4197861 0.4164439 0.4131016 0.4097594
 [85,] 0.4289672 0.4255847 0.4222022 0.4188197 0.4154372 0.4120547 0.4086722
 [86,] 0.4281216 0.4246988 0.4212760 0.4178533 0.4144305 0.4110077 0.4075849
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 [88,] 0.4264304 0.4229270 0.4194237 0.4159204 0.4124171 0.4089138 0.4054105
 [89,] 0.4255847 0.4220411 0.4184976 0.4149540 0.4114104 0.4078668 0.4043232
 [90,] 0.4247391 0.4211552 0.4175714 0.4139875 0.4104037 0.4068198 0.4032360
 [91,] 0.4238935 0.4202693 0.4166452 0.4130211 0.4093970 0.4057729 0.4021487
 [92,] 0.4230478 0.4193835 0.4157191 0.4120547 0.4083903 0.4047259 0.4010615
 [93,] 0.4222022 0.4184976 0.4147929 0.4110882 0.4073836 0.4036789 0.3999743
 [94,] 0.4213566 0.4176117 0.4138667 0.4101218 0.4063769 0.4026320 0.3988870
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 [96,] 0.4196653 0.4158399 0.4120144 0.4081889 0.4043635 0.4005380 0.3967126
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 [98,] 0.4179741 0.4140681 0.4101621 0.4062561 0.4023501 0.3984441 0.3945381
 [99,] 0.4171284 0.4131822 0.4092359 0.4052897 0.4013434 0.3973971 0.3934509
[100,] 0.4162828 0.4122963 0.4083098 0.4043232 0.4003367 0.3963502 0.3923636
[101,] 0.4154372 0.4114104 0.4073836 0.4033568 0.3993300 0.3953032 0.3912764
[102,] 0.4145916 0.4105245 0.4064574 0.4023904 0.3983233 0.3942562 0.3901891
[103,] 0.4137459 0.4096386 0.4055313 0.4014239 0.3973166 0.3932092 0.3891019
[104,] 0.4129003 0.4087527 0.4046051 0.4004575 0.3963099 0.3921623 0.3880147
[105,] 0.4120547 0.4078668 0.4036789 0.3994911 0.3953032 0.3911153 0.3869274
[106,] 0.4112090 0.4069809 0.4027528 0.3985246 0.3942965 0.3900683 0.3858402
[107,] 0.4103634 0.4060950 0.4018266 0.3975582 0.3932898 0.3890214 0.3847530
[108,] 0.4095178 0.4052091 0.4009004 0.3965918 0.3922831 0.3879744 0.3836657
[109,] 0.4086722 0.4043232 0.3999743 0.3956253 0.3912764 0.3869274 0.3825785
[110,] 0.4078265 0.4034373 0.3990481 0.3946589 0.3902697 0.3858805 0.3814913
[111,] 0.4069809 0.4025514 0.3981219 0.3936925 0.3892630 0.3848335 0.3804040
[112,] 0.4061353 0.4016655 0.3971958 0.3927260 0.3882563 0.3837865 0.3793168
[113,] 0.4052897 0.4007796 0.3962696 0.3917596 0.3872496 0.3827396 0.3782296
[114,] 0.4044440 0.3998937 0.3953435 0.3907932 0.3862429 0.3816926 0.3771423
[115,] 0.4035984 0.3990078 0.3944173 0.3898267 0.3852362 0.3806456 0.3760551
[116,] 0.4027528 0.3981219 0.3934911 0.3888603 0.3842295 0.3795987 0.3749678
[117,] 0.4019071 0.3972360 0.3925650 0.3878939 0.3832228 0.3785517 0.3738806
[118,] 0.4010615 0.3963502 0.3916388 0.3869274 0.3822161 0.3775047 0.3727934
[119,] 0.4002159 0.3954643 0.3907126 0.3859610 0.3812094 0.3764578 0.3717061
[120,] 0.3993703 0.3945784 0.3897865 0.3849946 0.3802027 0.3754108 0.3706189
[121,] 0.3985246 0.3936925 0.3888603 0.3840281 0.3791960 0.3743638 0.3695317
[122,] 0.3976790 0.3928066 0.3879341 0.3830617 0.3781893 0.3733169 0.3684444
[123,] 0.3968334 0.3919207 0.3870080 0.3820953 0.3771826 0.3722699 0.3673572
[124,] 0.3959877 0.3910348 0.3860818 0.3811288 0.3761759 0.3712229 0.3662700
[125,] 0.3951421 0.3901489 0.3851556 0.3801624 0.3751692 0.3701759 0.3651827
[126,] 0.3942965 0.3892630 0.3842295 0.3791960 0.3741625 0.3691290 0.3640955
[127,] 0.3934509 0.3883771 0.3833033 0.3782296 0.3731558 0.3680820 0.3630082
[128,] 0.3926052 0.3874912 0.3823772 0.3772631 0.3721491 0.3670350 0.3619210
[129,] 0.3917596 0.3866053 0.3814510 0.3762967 0.3711424 0.3659881 0.3608338
[130,] 0.3909140 0.3857194 0.3805248 0.3753303 0.3701357 0.3649411 0.3597465
[131,] 0.3900683 0.3848335 0.3795987 0.3743638 0.3691290 0.3638941 0.3586593
[132,] 0.3892227 0.3839476 0.3786725 0.3733974 0.3681223 0.3628472 0.3575721
[133,] 0.3883771 0.3830617 0.3777463 0.3724310 0.3671156 0.3618002 0.3564848
[134,] 0.3875315 0.3821758 0.3768202 0.3714645 0.3661089 0.3607532 0.3553976
[135,] 0.3866858 0.3812899 0.3758940 0.3704981 0.3651022 0.3597063 0.3543104
[136,] 0.3858402 0.3804040 0.3749678 0.3695317 0.3640955 0.3586593 0.3532231
[137,] 0.3849946 0.3795181 0.3740417 0.3685652 0.3630888 0.3576123 0.3521359
[138,] 0.3841489 0.3786322 0.3731155 0.3675988 0.3620821 0.3565654 0.3510486
[139,] 0.3833033 0.3777463 0.3721893 0.3666324 0.3610754 0.3555184 0.3499614
[140,] 0.3824577 0.3768604 0.3712632 0.3656659 0.3600687 0.3544714 0.3488742
[141,] 0.3816121 0.3759745 0.3703370 0.3646995 0.3590620 0.3534245 0.3477869
[142,] 0.3807664 0.3750886 0.3694109 0.3637331 0.3580553 0.3523775 0.3466997
[143,] 0.3799208 0.3742027 0.3684847 0.3627666 0.3570486 0.3513305 0.3456125
[144,] 0.3790752 0.3733169 0.3675585 0.3618002 0.3560419 0.3502836 0.3445252
[145,] 0.3782296 0.3724310 0.3666324 0.3608338 0.3550352 0.3492366 0.3434380
[146,] 0.3773839 0.3715451 0.3657062 0.3598673 0.3540285 0.3481896 0.3423508
[147,] 0.3765383 0.3706592 0.3647800 0.3589009 0.3530218 0.3471426 0.3412635
[148,] 0.3756927 0.3697733 0.3638539 0.3579345 0.3520151 0.3460957 0.3401763
[149,] 0.3748470 0.3688874 0.3629277 0.3569680 0.3510084 0.3450487 0.3390890
[150,] 0.3740014 0.3680015 0.3620015 0.3560016 0.3500017 0.3440017 0.3380018
[151,] 0.3731558 0.3671156 0.3610754 0.3550352 0.3489950 0.3429548 0.3369146
[152,] 0.3723102 0.3662297 0.3601492 0.3540687 0.3479883 0.3419078 0.3358273
[153,] 0.3714645 0.3653438 0.3592231 0.3531023 0.3469816 0.3408608 0.3347401
[154,] 0.3706189 0.3644579 0.3582969 0.3521359 0.3459749 0.3398139 0.3336529
[155,] 0.3697733 0.3635720 0.3573707 0.3511695 0.3449682 0.3387669 0.3325656
[156,] 0.3689276 0.3626861 0.3564446 0.3502030 0.3439615 0.3377199 0.3314784
[157,] 0.3680820 0.3618002 0.3555184 0.3492366 0.3429548 0.3366730 0.3303912
[158,] 0.3672364 0.3609143 0.3545922 0.3482702 0.3419481 0.3356260 0.3293039
[159,] 0.3663908 0.3600284 0.3536661 0.3473037 0.3409414 0.3345790 0.3282167
[160,] 0.3655451 0.3591425 0.3527399 0.3463373 0.3399347 0.3335321 0.3271295
[161,] 0.3646995 0.3582566 0.3518137 0.3453709 0.3389280 0.3324851 0.3260422
[162,] 0.3638539 0.3573707 0.3508876 0.3444044 0.3379213 0.3314381 0.3249550
[163,] 0.3630082 0.3564848 0.3499614 0.3434380 0.3369146 0.3303912 0.3238677
[164,] 0.3621626 0.3555989 0.3490352 0.3424716 0.3359079 0.3293442 0.3227805
[165,] 0.3613170 0.3547130 0.3481091 0.3415051 0.3349012 0.3282972 0.3216933
[166,] 0.3604714 0.3538271 0.3471829 0.3405387 0.3338945 0.3272503 0.3206060
[167,] 0.3596257 0.3529412 0.3462568 0.3395723 0.3328878 0.3262033 0.3195188
[168,] 0.3587801 0.3520553 0.3453306 0.3386058 0.3318811 0.3251563 0.3184316
[169,] 0.3579345 0.3511695 0.3444044 0.3376394 0.3308744 0.3241094 0.3173443
[170,] 0.3570888 0.3502836 0.3434783 0.3366730 0.3298677 0.3230624 0.3162571
[171,] 0.3562432 0.3493977 0.3425521 0.3357065 0.3288610 0.3220154 0.3151699
[172,] 0.3553976 0.3485118 0.3416259 0.3347401 0.3278543 0.3209684 0.3140826
[173,] 0.3545520 0.3476259 0.3406998 0.3337737 0.3268476 0.3199215 0.3129954
[174,] 0.3537063 0.3467400 0.3397736 0.3328072 0.3258409 0.3188745 0.3119081
[175,] 0.3528607 0.3458541 0.3388474 0.3318408 0.3248342 0.3178275 0.3108209
[176,] 0.3520151 0.3449682 0.3379213 0.3308744 0.3238275 0.3167806 0.3097337
[177,] 0.3511695 0.3440823 0.3369951 0.3299079 0.3228208 0.3157336 0.3086464
[178,] 0.3503238 0.3431964 0.3360689 0.3289415 0.3218141 0.3146866 0.3075592
[179,] 0.3494782 0.3423105 0.3351428 0.3279751 0.3208074 0.3136397 0.3064720
[180,] 0.3486326 0.3414246 0.3342166 0.3270086 0.3198007 0.3125927 0.3053847
[181,] 0.3477869 0.3405387 0.3332905 0.3260422 0.3187940 0.3115457 0.3042975
[182,] 0.3469413 0.3396528 0.3323643 0.3250758 0.3177873 0.3104988 0.3032103
[183,] 0.3460957 0.3387669 0.3314381 0.3241094 0.3167806 0.3094518 0.3021230
[184,] 0.3452501 0.3378810 0.3305120 0.3231429 0.3157739 0.3084048 0.3010358
[185,] 0.3444044 0.3369951 0.3295858 0.3221765 0.3147672 0.3073579 0.2999485
[186,] 0.3435588 0.3361092 0.3286596 0.3212101 0.3137605 0.3063109 0.2988613
[187,] 0.3427132 0.3352233 0.3277335 0.3202436 0.3127538 0.3052639 0.2977741
[188,] 0.3418675 0.3343374 0.3268073 0.3192772 0.3117471 0.3042170 0.2966868
[189,] 0.3410219 0.3334515 0.3258811 0.3183108 0.3107404 0.3031700 0.2955996
[190,] 0.3401763 0.3325656 0.3249550 0.3173443 0.3097337 0.3021230 0.2945124
[191,] 0.3393307 0.3316797 0.3240288 0.3163779 0.3087270 0.3010761 0.2934251
[192,] 0.3384850 0.3307938 0.3231026 0.3154115 0.3077203 0.3000291 0.2923379
[193,] 0.3376394 0.3299079 0.3221765 0.3144450 0.3067136 0.2989821 0.2912507
[194,] 0.3367938 0.3290220 0.3212503 0.3134786 0.3057069 0.2979351 0.2901634
[195,] 0.3359481 0.3281362 0.3203242 0.3125122 0.3047002 0.2968882 0.2890762
[196,] 0.3351025 0.3272503 0.3193980 0.3115457 0.3036935 0.2958412 0.2879889
[197,] 0.3342569 0.3263644 0.3184718 0.3105793 0.3026868 0.2947942 0.2869017
[198,] 0.3334113 0.3254785 0.3175457 0.3096129 0.3016801 0.2937473 0.2858145
[199,] 0.3325656 0.3245926 0.3166195 0.3086464 0.3006734 0.2927003 0.2847272
[200,] 0.3317200 0.3237067 0.3156933 0.3076800 0.2996667 0.2916533 0.2836400
[201,] 0.3308744 0.3228208 0.3147672 0.3067136 0.2986600 0.2906064 0.2825528
[202,] 0.3300287 0.3219349 0.3138410 0.3057471 0.2976533 0.2895594 0.2814655
[203,] 0.3291831 0.3210490 0.3129148 0.3047807 0.2966466 0.2885124 0.2803783
[204,] 0.3283375 0.3201631 0.3119887 0.3038143 0.2956399 0.2874655 0.2792911
[205,] 0.3274919 0.3192772 0.3110625 0.3028478 0.2946332 0.2864185 0.2782038
[206,] 0.3266462 0.3183913 0.3101364 0.3018814 0.2936265 0.2853715 0.2771166
[207,] 0.3258006 0.3175054 0.3092102 0.3009150 0.2926198 0.2843246 0.2760294
[208,] 0.3249550 0.3166195 0.3082840 0.2999485 0.2916131 0.2832776 0.2749421
[209,] 0.3241094 0.3157336 0.3073579 0.2989821 0.2906064 0.2822306 0.2738549
[210,] 0.3232637 0.3148477 0.3064317 0.2980157 0.2895997 0.2811837 0.2727676
[211,] 0.3224181 0.3139618 0.3055055 0.2970493 0.2885930 0.2801367 0.2716804
[212,] 0.3215725 0.3130759 0.3045794 0.2960828 0.2875863 0.2790897 0.2705932
[213,] 0.3207268 0.3121900 0.3036532 0.2951164 0.2865796 0.2780428 0.2695059
[214,] 0.3198812 0.3113041 0.3027270 0.2941500 0.2855729 0.2769958 0.2684187
[215,] 0.3190356 0.3104182 0.3018009 0.2931835 0.2845662 0.2759488 0.2673315
[216,] 0.3181900 0.3095323 0.3008747 0.2922171 0.2835595 0.2749018 0.2662442
[217,] 0.3173443 0.3086464 0.2999485 0.2912507 0.2825528 0.2738549 0.2651570
[218,] 0.3164987 0.3077605 0.2990224 0.2902842 0.2815461 0.2728079 0.2640698
[219,] 0.3156531 0.3068746 0.2980962 0.2893178 0.2805394 0.2717609 0.2629825
[220,] 0.3148074 0.3059887 0.2971701 0.2883514 0.2795327 0.2707140 0.2618953
[221,] 0.3139618 0.3051029 0.2962439 0.2873849 0.2785260 0.2696670 0.2608080
[222,] 0.3131162 0.3042170 0.2953177 0.2864185 0.2775193 0.2686200 0.2597208
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[207,] -1.95538193 -1.963677140 -1.971972349 -1.980267559
[208,] -1.96730126 -1.975636738 -1.983972215 -1.992307692
[209,] -1.97922059 -1.987596336 -1.995972081 -2.004347826
[210,] -1.99113992 -1.999555933 -2.007971947 -2.016387960
[211,] -2.00305925 -2.011515531 -2.019971812 -2.028428094
[212,] -2.01497858 -2.023475129 -2.031971678 -2.040468227
[213,] -2.02689791 -2.035434727 -2.043971544 -2.052508361
[214,] -2.03881724 -2.047394324 -2.055971410 -2.064548495
[215,] -2.05073657 -2.059353922 -2.067971275 -2.076588629
[216,] -2.06265590 -2.071313520 -2.079971141 -2.088628763
[217,] -2.07457523 -2.083273118 -2.091971007 -2.100668896
[218,] -2.08649456 -2.095232716 -2.103970873 -2.112709030
[219,] -2.09841389 -2.107192313 -2.115970739 -2.124749164
[220,] -2.11033322 -2.119151911 -2.127970604 -2.136789298
[221,] -2.12225255 -2.131111509 -2.139970470 -2.148829431
[222,] -2.13417188 -2.143071107 -2.151970336 -2.160869565
[223,] -2.14609121 -2.155030704 -2.163970202 -2.172909699
[224,] -2.15801054 -2.166990302 -2.175970067 -2.184949833
[225,] -2.16992987 -2.178949900 -2.187969933 -2.196989967
[226,] -2.18184920 -2.190909498 -2.199969799 -2.209030100
[227,] -2.19376853 -2.202869095 -2.211969665 -2.221070234
[228,] -2.20568786 -2.214828693 -2.223969531 -2.233110368
[229,] -2.21760719 -2.226788291 -2.235969396 -2.245150502
[230,] -2.22952652 -2.238747889 -2.247969262 -2.257190635
[231,] -2.24144585 -2.250707486 -2.259969128 -2.269230769
[232,] -2.25336517 -2.262667084 -2.271968994 -2.281270903
[233,] -2.26528450 -2.274626682 -2.283968859 -2.293311037
[234,] -2.27720383 -2.286586280 -2.295968725 -2.305351171
[235,] -2.28912316 -2.298545878 -2.307968591 -2.317391304
[236,] -2.30104249 -2.310505475 -2.319968457 -2.329431438
[237,] -2.31296182 -2.322465073 -2.331968322 -2.341471572
[238,] -2.32488115 -2.334424671 -2.343968188 -2.353511706
[239,] -2.33680048 -2.346384269 -2.355968054 -2.365551839
[240,] -2.34871981 -2.358343866 -2.367967920 -2.377591973
[241,] -2.36063914 -2.370303464 -2.379967786 -2.389632107
[242,] -2.37255847 -2.382263062 -2.391967651 -2.401672241
[243,] -2.38447780 -2.394222660 -2.403967517 -2.413712375
[244,] -2.39639713 -2.406182257 -2.415967383 -2.425752508
[245,] -2.40831646 -2.418141855 -2.427967249 -2.437792642
[246,] -2.42023579 -2.430101453 -2.439967114 -2.449832776
[247,] -2.43215512 -2.442061051 -2.451966980 -2.461872910
[248,] -2.44407445 -2.454020649 -2.463966846 -2.473913043
[249,] -2.45599378 -2.465980246 -2.475966712 -2.485953177
[250,] -2.46791311 -2.477939844 -2.487966578 -2.497993311
[251,] -2.47983244 -2.489899442 -2.499966443 -2.510033445
[252,] -2.49175177 -2.501859040 -2.511966309 -2.522073579
[253,] -2.50367110 -2.513818637 -2.523966175 -2.534113712
[254,] -2.51559043 -2.525778235 -2.535966041 -2.546153846
[255,] -2.52750976 -2.537737833 -2.547965906 -2.558193980
[256,] -2.53942909 -2.549697431 -2.559965772 -2.570234114
[257,] -2.55134842 -2.561657028 -2.571965638 -2.582274247
[258,] -2.56326775 -2.573616626 -2.583965504 -2.594314381
[259,] -2.57518708 -2.585576224 -2.595965370 -2.606354515
[260,] -2.58710641 -2.597535822 -2.607965235 -2.618394649
[261,] -2.59902574 -2.609495420 -2.619965101 -2.630434783
[262,] -2.61094507 -2.621455017 -2.631964967 -2.642474916
[263,] -2.62286440 -2.633414615 -2.643964833 -2.654515050
[264,] -2.63478373 -2.645374213 -2.655964698 -2.666555184
[265,] -2.64670306 -2.657333811 -2.667964564 -2.678595318
[266,] -2.65862239 -2.669293408 -2.679964430 -2.690635451
[267,] -2.67054172 -2.681253006 -2.691964296 -2.702675585
[268,] -2.68246105 -2.693212604 -2.703964161 -2.714715719
[269,] -2.69438038 -2.705172202 -2.715964027 -2.726755853
[270,] -2.70629971 -2.717131799 -2.727963893 -2.738795987
[271,] -2.71821904 -2.729091397 -2.739963759 -2.750836120
[272,] -2.73013837 -2.741050995 -2.751963625 -2.762876254
[273,] -2.74205770 -2.753010593 -2.763963490 -2.774916388
[274,] -2.75397702 -2.764970190 -2.775963356 -2.786956522
[275,] -2.76589635 -2.776929788 -2.787963222 -2.798996656
[276,] -2.77781568 -2.788889386 -2.799963088 -2.811036789
[277,] -2.78973501 -2.800848984 -2.811962953 -2.823076923
[278,] -2.80165434 -2.812808582 -2.823962819 -2.835117057
[279,] -2.81357367 -2.824768179 -2.835962685 -2.847157191
[280,] -2.82549300 -2.836727777 -2.847962551 -2.859197324
[281,] -2.83741233 -2.848687375 -2.859962417 -2.871237458
[282,] -2.84933166 -2.860646973 -2.871962282 -2.883277592
[283,] -2.86125099 -2.872606570 -2.883962148 -2.895317726
[284,] -2.87317032 -2.884566168 -2.895962014 -2.907357860
[285,] -2.88508965 -2.896525766 -2.907961880 -2.919397993
[286,] -2.89700898 -2.908485364 -2.919961745 -2.931438127
[287,] -2.90892831 -2.920444961 -2.931961611 -2.943478261
[288,] -2.92084764 -2.932404559 -2.943961477 -2.955518395
[289,] -2.93276697 -2.944364157 -2.955961343 -2.967558528
[290,] -2.94468630 -2.956323755 -2.967961208 -2.979598662
[291,] -2.95660563 -2.968283353 -2.979961074 -2.991638796
[292,] -2.96852496 -2.980242950 -2.991960940 -3.003678930
[293,] -2.98044429 -2.992202548 -3.003960806 -3.015719064
[294,] -2.99236362 -3.004162146 -3.015960672 -3.027759197
[295,] -3.00428295 -3.016121744 -3.027960537 -3.039799331
[296,] -3.01620228 -3.028081341 -3.039960403 -3.051839465
[297,] -3.02812161 -3.040040939 -3.051960269 -3.063879599
[298,] -3.04004094 -3.052000537 -3.063960135 -3.075919732
[299,] -3.05196027 -3.063960135 -3.075960000 -3.087959866
[300,] -3.06387960 -3.075919732 -3.087959866 -3.100000000

$dy
              [,1]          [,2]         [,3]         [,4]         [,5]
  [1,] 0.000000000 -0.0200668896 -0.040133779 -0.060200669 -0.080267559
  [2,] 0.000402518 -0.0196643717 -0.039731261 -0.059798151 -0.079865041
  [3,] 0.001608130 -0.0184587596 -0.038525649 -0.058592539 -0.078659429
  [4,] 0.003611034 -0.0164558559 -0.036522746 -0.056589635 -0.076656525
  [5,] 0.006401636 -0.0136652537 -0.033732143 -0.053799033 -0.073865923
  [6,] 0.009966667 -0.0101002226 -0.030167112 -0.050234002 -0.070300891
  [7,] 0.014289337 -0.0057775526 -0.025844442 -0.045911332 -0.065978222
  [8,] 0.019349531 -0.0007173586 -0.020784248 -0.040851138 -0.060918027
  [9,] 0.025124039  0.0050571494 -0.015009740 -0.035076630 -0.055143519
 [10,] 0.031586815  0.0115199254 -0.008546964 -0.028613854 -0.048680744
 [11,] 0.038709261  0.0186423716 -0.001424518 -0.021491408 -0.041558297
 [12,] 0.046460531  0.0263936413  0.006326752 -0.013740138 -0.033807028
 [13,] 0.054807845  0.0347409552  0.014674066 -0.005392824 -0.025459714
 [14,] 0.063716814  0.0436499245  0.023583035  0.003516145 -0.016550744
 [15,] 0.073151767  0.0530848775  0.033017988  0.012951098 -0.007115791
 [16,] 0.083076071  0.0630091814  0.042942292  0.022875402  0.002808512
 [17,] 0.093452447  0.0733855577  0.053318668  0.033251778  0.013184889
 [18,] 0.104243274  0.0841763848  0.064109495  0.044042605  0.023975716
 [19,] 0.115410874  0.0953439846  0.075277095  0.055210205  0.035143316
 [20,] 0.126917781  0.1068508912  0.086784002  0.066717112  0.046650222
 [21,] 0.138726987  0.1186600976  0.098593208  0.078526318  0.058459429
 [22,] 0.150802170  0.1307352799  0.110668390  0.090601501  0.070534611
 [23,] 0.163107887  0.1430409971  0.122974107  0.102907218  0.082840328
 [24,] 0.175609756  0.1555428665  0.135475977  0.115409087  0.095342198
 [25,] 0.188274603  0.1682077138  0.148140824  0.128073935  0.108007045
 [26,] 0.201070589  0.1810036995  0.160936810  0.140869920  0.120803031
 [27,] 0.213967311  0.1939004209  0.173833531  0.153766642  0.133699752
 [28,] 0.226935881  0.2068689917  0.186802102  0.166735212  0.146668323
 [29,] 0.239948990  0.2198821008  0.199815211  0.179748322  0.159681432
 [30,] 0.252980940  0.2329140507  0.212847161  0.192780271  0.172713382
 [31,] 0.266007668  0.2459407786  0.225873889  0.205806999  0.185740110
 [32,] 0.279006750  0.2589398605  0.238872971  0.218806081  0.198739192
 [33,] 0.291957391  0.2718905016  0.251823612  0.231756722  0.211689833
 [34,] 0.304840403  0.2847735132  0.264706624  0.244639734  0.224572844
 [35,] 0.317638169  0.2975712795  0.277504390  0.257437500  0.237370611
 [36,] 0.330334604  0.3102677146  0.290200825  0.270133935  0.250067046
 [37,] 0.342915102  0.3228482121  0.302781322  0.282714433  0.262647543
 [38,] 0.355366478  0.3352995884  0.315232699  0.295165809  0.275098919
 [39,] 0.367676911  0.3476100209  0.327543131  0.307476242  0.287409352
 [40,] 0.379835873  0.3597689838  0.339702094  0.319635204  0.299568315
 [41,] 0.391834069  0.3717671795  0.351700290  0.331633400  0.311566511
 [42,] 0.403663360  0.3835964708  0.363529581  0.343462691  0.323395802
 [43,] 0.415316700  0.3952498103  0.375182921  0.355116031  0.335049141
 [44,] 0.426788061  0.4067211718  0.386654282  0.366587393  0.346520503
 [45,] 0.438072371  0.4180054813  0.397938592  0.377871702  0.357804812
 [46,] 0.449165440  0.4290985499  0.409031660  0.388964771  0.368897881
 [47,] 0.460063898  0.4399970081  0.419930118  0.399863229  0.379796339
 [48,] 0.470765132  0.4506982428  0.430631353  0.410564464  0.390497574
 [49,] 0.481267226  0.4612003360  0.441133446  0.421066557  0.400999667
 [50,] 0.491568896  0.4715020066  0.451435117  0.431368227  0.411301338
 [51,] 0.501669444  0.4816025548  0.461535665  0.441468776  0.421401886
 [52,] 0.511568699  0.4915018096  0.471434920  0.451368030  0.431301141
 [53,] 0.521266968  0.5012000787  0.481133189  0.461066299  0.440999410
 [54,] 0.530764991  0.5106981018  0.490631212  0.470564323  0.450497433
 [55,] 0.540063896  0.5199970068  0.499930117  0.479863228  0.459796338
 [56,] 0.549165158  0.5290982684  0.509031379  0.488964489  0.468897599
 [57,] 0.558070560  0.5380036700  0.517936780  0.497869891  0.477803001
 [58,] 0.566782158  0.5467152682  0.526648379  0.506581489  0.486514599
 [59,] 0.575302249  0.5552353597  0.535168470  0.515101580  0.495034691
 [60,] 0.583633341  0.5635664510  0.543499561  0.523432672  0.503365782
 [61,] 0.591778120  0.5717112301  0.551644340  0.531577451  0.511510561
 [62,] 0.599739431  0.5796725410  0.559605651  0.539538762  0.519471872
 [63,] 0.607520249  0.5874533597  0.567386470  0.547319580  0.527252691
 [64,] 0.615123663  0.5950567731  0.574989883  0.554922994  0.534856104
 [65,] 0.622552848  0.6024859587  0.582419069  0.562352179  0.542285290
 [66,] 0.629811057  0.6097441671  0.589677277  0.569610388  0.549543498
 [67,] 0.636901595  0.6168347053  0.596767816  0.576700926  0.556634036
 [68,] 0.643827812  0.6237609226  0.603694033  0.583627143  0.563560254
 [69,] 0.650593086  0.6305261966  0.610459307  0.590392417  0.570325528
 [70,] 0.657200811  0.6371339217  0.617067032  0.597000142  0.576933253
 [71,] 0.663654388  0.6435874984  0.623520609  0.603453719  0.583386830
 [72,] 0.669957213  0.6498903234  0.629823434  0.609756544  0.589689655
 [73,] 0.676112671  0.6560457813  0.635978892  0.615912002  0.595845112
 [74,] 0.682124127  0.6620572370  0.641990347  0.621923458  0.601856568
 [75,] 0.687994919  0.6679280290  0.647861139  0.627794250  0.607727360
 [76,] 0.693728353  0.6736614635  0.653594574  0.633527684  0.613460795
 [77,] 0.699327699  0.6792608092  0.659193920  0.639127030  0.619060140
 [78,] 0.704796183  0.6847292932  0.664662404  0.644595514  0.624528624
 [79,] 0.710136986  0.6900700967  0.670003207  0.649936317  0.629869428
 [80,] 0.715353241  0.6952863518  0.675219462  0.655152573  0.635085683
 [81,] 0.720448029  0.7003811390  0.680314249  0.660247360  0.640180470
 [82,] 0.725424374  0.7053574847  0.685290595  0.665223705  0.645156816
 [83,] 0.730285249  0.7102183592  0.690151470  0.670084580  0.650017690
 [84,] 0.735033565  0.7149666754  0.694899786  0.674832896  0.654766006
 [85,] 0.739672177  0.7196052873  0.699538398  0.679471508  0.659404618
 [86,] 0.744203879  0.7241369896  0.704070100  0.684003210  0.663936321
 [87,] 0.748631406  0.7285645165  0.708497627  0.688430737  0.668363848
 [88,] 0.752957431  0.7328905416  0.712823652  0.692756762  0.672689873
 [89,] 0.757184568  0.7371176779  0.717050788  0.696983899  0.676917009
 [90,] 0.761315367  0.7412484776  0.721181588  0.701114698  0.681047809
 [91,] 0.765352322  0.7452854323  0.725218543  0.705151653  0.685084763
 [92,] 0.769297863  0.7492309734  0.729164084  0.709097194  0.689030305
 [93,] 0.773154362  0.7530874728  0.733020583  0.712953694  0.692886804
 [94,] 0.776924133  0.7568572430  0.736790353  0.716723464  0.696656574
 [95,] 0.780609428  0.7605425382  0.740475649  0.720408759  0.700341869
 [96,] 0.784212445  0.7641455549  0.744078665  0.724011776  0.703944886
 [97,] 0.787735323  0.7676684330  0.747601543  0.727534654  0.707467764
 [98,] 0.791180146  0.7711132564  0.751046367  0.730979477  0.710912587
 [99,] 0.794548943  0.7744820538  0.754415164  0.734348275  0.714281385
[100,] 0.797843690  0.7777768005  0.757709911  0.737643021  0.717576132
[101,] 0.801066308  0.7809994186  0.760932529  0.740865639  0.720798750
[102,] 0.804218668  0.7841517786  0.764084889  0.744017999  0.723951110
[103,] 0.807302590  0.7872357001  0.767168810  0.747101921  0.727035031
[104,] 0.810319843  0.7902529534  0.770186064  0.750119174  0.730052284
[105,] 0.813272150  0.7932052600  0.773138370  0.753071481  0.733004591
[106,] 0.816161184  0.7960942945  0.776027405  0.755960515  0.735893626
[107,] 0.818988575  0.7989216849  0.778854795  0.758787906  0.738721016
[108,] 0.821755904  0.8016890144  0.781622125  0.761555235  0.741488345
[109,] 0.824464712  0.8043978221  0.784330932  0.764264043  0.744197153
[110,] 0.827116494  0.8070496043  0.786982715  0.766915825  0.746848935
[111,] 0.829712705  0.8096458157  0.789578926  0.769512036  0.749445147
[112,] 0.832254760  0.8121878701  0.792120981  0.772054091  0.751987201
[113,] 0.834744032  0.8146771421  0.794610252  0.774543363  0.754476473
[114,] 0.837181857  0.8171149675  0.797048078  0.776981188  0.756914299
[115,] 0.839569534  0.8195026447  0.799435755  0.779368865  0.759301976
[116,] 0.841908326  0.8218414359  0.801774546  0.781707657  0.761640767
[117,] 0.844199457  0.8241325677  0.804065678  0.783998788  0.763931899
[118,] 0.846444122  0.8263772323  0.806310343  0.786243453  0.766176563
[119,] 0.848643478  0.8285765885  0.808509699  0.788442809  0.768375920
[120,] 0.850798652  0.8307317626  0.810664873  0.790597983  0.770531094
[121,] 0.852910739  0.8328438492  0.812776960  0.792710070  0.772643180
[122,] 0.854980802  0.8349139126  0.814847023  0.794780133  0.774713244
[123,] 0.857009876  0.8369429868  0.816876097  0.796809208  0.776742318
[124,] 0.858998967  0.8389320773  0.818865188  0.798798298  0.778731408
[125,] 0.860949051  0.8408821614  0.820815272  0.800748382  0.780681492
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[273,] -4.932142 -4.952209 -4.972275 -4.992342 -5.012409 -5.032476
[274,] -4.931912 -4.951979 -4.972046 -4.992112 -5.012179 -5.032246
[275,] -4.931684 -4.951751 -4.971818 -4.991885 -5.011952 -5.032019
[276,] -4.931459 -4.951526 -4.971593 -4.991660 -5.011727 -5.031794
[277,] -4.931237 -4.951304 -4.971370 -4.991437 -5.011504 -5.031571
[278,] -4.931016 -4.951083 -4.971150 -4.991217 -5.011284 -5.031351
[279,] -4.930798 -4.950865 -4.970932 -4.990999 -5.011066 -5.031133
[280,] -4.930582 -4.950649 -4.970716 -4.990783 -5.010850 -5.030917
[281,] -4.930369 -4.950435 -4.970502 -4.990569 -5.010636 -5.030703
[282,] -4.930157 -4.950224 -4.970291 -4.990358 -5.010425 -5.030492
[283,] -4.929948 -4.950015 -4.970082 -4.990148 -5.010215 -5.030282
[284,] -4.929741 -4.949807 -4.969874 -4.989941 -5.010008 -5.030075
[285,] -4.929535 -4.949602 -4.969669 -4.989736 -5.009803 -5.029870
[286,] -4.929332 -4.949399 -4.969466 -4.989533 -5.009600 -5.029667
[287,] -4.929131 -4.949198 -4.969265 -4.989332 -5.009399 -5.029466
[288,] -4.928932 -4.948999 -4.969066 -4.989133 -5.009200 -5.029267
[289,] -4.928735 -4.948802 -4.968869 -4.988936 -5.009003 -5.029070
[290,] -4.928540 -4.948607 -4.968674 -4.988741 -5.008808 -5.028875
[291,] -4.928347 -4.948414 -4.968481 -4.988548 -5.008615 -5.028682
[292,] -4.928156 -4.948223 -4.968290 -4.988357 -5.008424 -5.028491
[293,] -4.927967 -4.948034 -4.968101 -4.988167 -5.008234 -5.028301
[294,] -4.927779 -4.947846 -4.967913 -4.987980 -5.008047 -5.028114
[295,] -4.927594 -4.947661 -4.967728 -4.987794 -5.007861 -5.027928
[296,] -4.927410 -4.947477 -4.967544 -4.987611 -5.007678 -5.027744
[297,] -4.927228 -4.947295 -4.967362 -4.987429 -5.007496 -5.027562
[298,] -4.927048 -4.947115 -4.967182 -4.987248 -5.007315 -5.027382
[299,] -4.926869 -4.946936 -4.967003 -4.987070 -5.007137 -5.027204
[300,] -4.926693 -4.946759 -4.966826 -4.986893 -5.006960 -5.027027

$parameters
 wrażliwość wydzielanie  degradacja        beta 
        0.1         1.0         1.0         1.0 

$points
[1] 300

$system
[1] "two.dim"

$x
  [1] 0.00000000 0.02006689 0.04013378 0.06020067 0.08026756 0.10033445
  [7] 0.12040134 0.14046823 0.16053512 0.18060201 0.20066890 0.22073579
 [13] 0.24080268 0.26086957 0.28093645 0.30100334 0.32107023 0.34113712
 [19] 0.36120401 0.38127090 0.40133779 0.42140468 0.44147157 0.46153846
 [25] 0.48160535 0.50167224 0.52173913 0.54180602 0.56187291 0.58193980
 [31] 0.60200669 0.62207358 0.64214047 0.66220736 0.68227425 0.70234114
 [37] 0.72240803 0.74247492 0.76254181 0.78260870 0.80267559 0.82274247
 [43] 0.84280936 0.86287625 0.88294314 0.90301003 0.92307692 0.94314381
 [49] 0.96321070 0.98327759 1.00334448 1.02341137 1.04347826 1.06354515
 [55] 1.08361204 1.10367893 1.12374582 1.14381271 1.16387960 1.18394649
 [61] 1.20401338 1.22408027 1.24414716 1.26421405 1.28428094 1.30434783
 [67] 1.32441472 1.34448161 1.36454849 1.38461538 1.40468227 1.42474916
 [73] 1.44481605 1.46488294 1.48494983 1.50501672 1.52508361 1.54515050
 [79] 1.56521739 1.58528428 1.60535117 1.62541806 1.64548495 1.66555184
 [85] 1.68561873 1.70568562 1.72575251 1.74581940 1.76588629 1.78595318
 [91] 1.80602007 1.82608696 1.84615385 1.86622074 1.88628763 1.90635452
 [97] 1.92642140 1.94648829 1.96655518 1.98662207 2.00668896 2.02675585
[103] 2.04682274 2.06688963 2.08695652 2.10702341 2.12709030 2.14715719
[109] 2.16722408 2.18729097 2.20735786 2.22742475 2.24749164 2.26755853
[115] 2.28762542 2.30769231 2.32775920 2.34782609 2.36789298 2.38795987
[121] 2.40802676 2.42809365 2.44816054 2.46822742 2.48829431 2.50836120
[127] 2.52842809 2.54849498 2.56856187 2.58862876 2.60869565 2.62876254
[133] 2.64882943 2.66889632 2.68896321 2.70903010 2.72909699 2.74916388
[139] 2.76923077 2.78929766 2.80936455 2.82943144 2.84949833 2.86956522
[145] 2.88963211 2.90969900 2.92976589 2.94983278 2.96989967 2.98996656
[151] 3.01003344 3.03010033 3.05016722 3.07023411 3.09030100 3.11036789
[157] 3.13043478 3.15050167 3.17056856 3.19063545 3.21070234 3.23076923
[163] 3.25083612 3.27090301 3.29096990 3.31103679 3.33110368 3.35117057
[169] 3.37123746 3.39130435 3.41137124 3.43143813 3.45150502 3.47157191
[175] 3.49163880 3.51170569 3.53177258 3.55183946 3.57190635 3.59197324
[181] 3.61204013 3.63210702 3.65217391 3.67224080 3.69230769 3.71237458
[187] 3.73244147 3.75250836 3.77257525 3.79264214 3.81270903 3.83277592
[193] 3.85284281 3.87290970 3.89297659 3.91304348 3.93311037 3.95317726
[199] 3.97324415 3.99331104 4.01337793 4.03344482 4.05351171 4.07357860
[205] 4.09364548 4.11371237 4.13377926 4.15384615 4.17391304 4.19397993
[211] 4.21404682 4.23411371 4.25418060 4.27424749 4.29431438 4.31438127
[217] 4.33444816 4.35451505 4.37458194 4.39464883 4.41471572 4.43478261
[223] 4.45484950 4.47491639 4.49498328 4.51505017 4.53511706 4.55518395
[229] 4.57525084 4.59531773 4.61538462 4.63545151 4.65551839 4.67558528
[235] 4.69565217 4.71571906 4.73578595 4.75585284 4.77591973 4.79598662
[241] 4.81605351 4.83612040 4.85618729 4.87625418 4.89632107 4.91638796
[247] 4.93645485 4.95652174 4.97658863 4.99665552 5.01672241 5.03678930
[253] 5.05685619 5.07692308 5.09698997 5.11705686 5.13712375 5.15719064
[259] 5.17725753 5.19732441 5.21739130 5.23745819 5.25752508 5.27759197
[265] 5.29765886 5.31772575 5.33779264 5.35785953 5.37792642 5.39799331
[271] 5.41806020 5.43812709 5.45819398 5.47826087 5.49832776 5.51839465
[277] 5.53846154 5.55852843 5.57859532 5.59866221 5.61872910 5.63879599
[283] 5.65886288 5.67892977 5.69899666 5.71906355 5.73913043 5.75919732
[289] 5.77926421 5.79933110 5.81939799 5.83946488 5.85953177 5.87959866
[295] 5.89966555 5.91973244 5.93979933 5.95986622 5.97993311 6.00000000

$xlim
[1] 0 6

$y
  [1] 0.00000000 0.02006689 0.04013378 0.06020067 0.08026756 0.10033445
  [7] 0.12040134 0.14046823 0.16053512 0.18060201 0.20066890 0.22073579
 [13] 0.24080268 0.26086957 0.28093645 0.30100334 0.32107023 0.34113712
 [19] 0.36120401 0.38127090 0.40133779 0.42140468 0.44147157 0.46153846
 [25] 0.48160535 0.50167224 0.52173913 0.54180602 0.56187291 0.58193980
 [31] 0.60200669 0.62207358 0.64214047 0.66220736 0.68227425 0.70234114
 [37] 0.72240803 0.74247492 0.76254181 0.78260870 0.80267559 0.82274247
 [43] 0.84280936 0.86287625 0.88294314 0.90301003 0.92307692 0.94314381
 [49] 0.96321070 0.98327759 1.00334448 1.02341137 1.04347826 1.06354515
 [55] 1.08361204 1.10367893 1.12374582 1.14381271 1.16387960 1.18394649
 [61] 1.20401338 1.22408027 1.24414716 1.26421405 1.28428094 1.30434783
 [67] 1.32441472 1.34448161 1.36454849 1.38461538 1.40468227 1.42474916
 [73] 1.44481605 1.46488294 1.48494983 1.50501672 1.52508361 1.54515050
 [79] 1.56521739 1.58528428 1.60535117 1.62541806 1.64548495 1.66555184
 [85] 1.68561873 1.70568562 1.72575251 1.74581940 1.76588629 1.78595318
 [91] 1.80602007 1.82608696 1.84615385 1.86622074 1.88628763 1.90635452
 [97] 1.92642140 1.94648829 1.96655518 1.98662207 2.00668896 2.02675585
[103] 2.04682274 2.06688963 2.08695652 2.10702341 2.12709030 2.14715719
[109] 2.16722408 2.18729097 2.20735786 2.22742475 2.24749164 2.26755853
[115] 2.28762542 2.30769231 2.32775920 2.34782609 2.36789298 2.38795987
[121] 2.40802676 2.42809365 2.44816054 2.46822742 2.48829431 2.50836120
[127] 2.52842809 2.54849498 2.56856187 2.58862876 2.60869565 2.62876254
[133] 2.64882943 2.66889632 2.68896321 2.70903010 2.72909699 2.74916388
[139] 2.76923077 2.78929766 2.80936455 2.82943144 2.84949833 2.86956522
[145] 2.88963211 2.90969900 2.92976589 2.94983278 2.96989967 2.98996656
[151] 3.01003344 3.03010033 3.05016722 3.07023411 3.09030100 3.11036789
[157] 3.13043478 3.15050167 3.17056856 3.19063545 3.21070234 3.23076923
[163] 3.25083612 3.27090301 3.29096990 3.31103679 3.33110368 3.35117057
[169] 3.37123746 3.39130435 3.41137124 3.43143813 3.45150502 3.47157191
[175] 3.49163880 3.51170569 3.53177258 3.55183946 3.57190635 3.59197324
[181] 3.61204013 3.63210702 3.65217391 3.67224080 3.69230769 3.71237458
[187] 3.73244147 3.75250836 3.77257525 3.79264214 3.81270903 3.83277592
[193] 3.85284281 3.87290970 3.89297659 3.91304348 3.93311037 3.95317726
[199] 3.97324415 3.99331104 4.01337793 4.03344482 4.05351171 4.07357860
[205] 4.09364548 4.11371237 4.13377926 4.15384615 4.17391304 4.19397993
[211] 4.21404682 4.23411371 4.25418060 4.27424749 4.29431438 4.31438127
[217] 4.33444816 4.35451505 4.37458194 4.39464883 4.41471572 4.43478261
[223] 4.45484950 4.47491639 4.49498328 4.51505017 4.53511706 4.55518395
[229] 4.57525084 4.59531773 4.61538462 4.63545151 4.65551839 4.67558528
[235] 4.69565217 4.71571906 4.73578595 4.75585284 4.77591973 4.79598662
[241] 4.81605351 4.83612040 4.85618729 4.87625418 4.89632107 4.91638796
[247] 4.93645485 4.95652174 4.97658863 4.99665552 5.01672241 5.03678930
[253] 5.05685619 5.07692308 5.09698997 5.11705686 5.13712375 5.15719064
[259] 5.17725753 5.19732441 5.21739130 5.23745819 5.25752508 5.27759197
[265] 5.29765886 5.31772575 5.33779264 5.35785953 5.37792642 5.39799331
[271] 5.41806020 5.43812709 5.45819398 5.47826087 5.49832776 5.51839465
[277] 5.53846154 5.55852843 5.57859532 5.59866221 5.61872910 5.63879599
[283] 5.65886288 5.67892977 5.69899666 5.71906355 5.73913043 5.75919732
[289] 5.77926421 5.79933110 5.81939799 5.83946488 5.85953177 5.87959866
[295] 5.89966555 5.91973244 5.93979933 5.95986622 5.97993311 6.00000000

$ylim
[1] 0 6

trajectory(model_metabolizmu, 
           y0 = war_pocz_faza, 
           tlim = c(0, 20), 
           parameters = param_oporny)

Note: col has been reset as required

$add
[1] TRUE

$col
[1] "black" "black" "black" "black" "black"

$deriv
<srcref: file "" chars 10:22 to 23:1>
<bytecode: 0x000002165d2bcf90>

$n
NULL

$method
[1] "ode45"

$parameters
 wrażliwość wydzielanie  degradacja        beta 
        0.1         1.0         1.0         1.0 

$system
[1] "two.dim"

$t
   [1]  0.00  0.01  0.02  0.03  0.04  0.05  0.06  0.07  0.08  0.09  0.10  0.11
  [13]  0.12  0.13  0.14  0.15  0.16  0.17  0.18  0.19  0.20  0.21  0.22  0.23
  [25]  0.24  0.25  0.26  0.27  0.28  0.29  0.30  0.31  0.32  0.33  0.34  0.35
  [37]  0.36  0.37  0.38  0.39  0.40  0.41  0.42  0.43  0.44  0.45  0.46  0.47
  [49]  0.48  0.49  0.50  0.51  0.52  0.53  0.54  0.55  0.56  0.57  0.58  0.59
  [61]  0.60  0.61  0.62  0.63  0.64  0.65  0.66  0.67  0.68  0.69  0.70  0.71
  [73]  0.72  0.73  0.74  0.75  0.76  0.77  0.78  0.79  0.80  0.81  0.82  0.83
  [85]  0.84  0.85  0.86  0.87  0.88  0.89  0.90  0.91  0.92  0.93  0.94  0.95
  [97]  0.96  0.97  0.98  0.99  1.00  1.01  1.02  1.03  1.04  1.05  1.06  1.07
 [109]  1.08  1.09  1.10  1.11  1.12  1.13  1.14  1.15  1.16  1.17  1.18  1.19
 [121]  1.20  1.21  1.22  1.23  1.24  1.25  1.26  1.27  1.28  1.29  1.30  1.31
 [133]  1.32  1.33  1.34  1.35  1.36  1.37  1.38  1.39  1.40  1.41  1.42  1.43
 [145]  1.44  1.45  1.46  1.47  1.48  1.49  1.50  1.51  1.52  1.53  1.54  1.55
 [157]  1.56  1.57  1.58  1.59  1.60  1.61  1.62  1.63  1.64  1.65  1.66  1.67
 [169]  1.68  1.69  1.70  1.71  1.72  1.73  1.74  1.75  1.76  1.77  1.78  1.79
 [181]  1.80  1.81  1.82  1.83  1.84  1.85  1.86  1.87  1.88  1.89  1.90  1.91
 [193]  1.92  1.93  1.94  1.95  1.96  1.97  1.98  1.99  2.00  2.01  2.02  2.03
 [205]  2.04  2.05  2.06  2.07  2.08  2.09  2.10  2.11  2.12  2.13  2.14  2.15
 [217]  2.16  2.17  2.18  2.19  2.20  2.21  2.22  2.23  2.24  2.25  2.26  2.27
 [229]  2.28  2.29  2.30  2.31  2.32  2.33  2.34  2.35  2.36  2.37  2.38  2.39
 [241]  2.40  2.41  2.42  2.43  2.44  2.45  2.46  2.47  2.48  2.49  2.50  2.51
 [253]  2.52  2.53  2.54  2.55  2.56  2.57  2.58  2.59  2.60  2.61  2.62  2.63
 [265]  2.64  2.65  2.66  2.67  2.68  2.69  2.70  2.71  2.72  2.73  2.74  2.75
 [277]  2.76  2.77  2.78  2.79  2.80  2.81  2.82  2.83  2.84  2.85  2.86  2.87
 [289]  2.88  2.89  2.90  2.91  2.92  2.93  2.94  2.95  2.96  2.97  2.98  2.99
 [301]  3.00  3.01  3.02  3.03  3.04  3.05  3.06  3.07  3.08  3.09  3.10  3.11
 [313]  3.12  3.13  3.14  3.15  3.16  3.17  3.18  3.19  3.20  3.21  3.22  3.23
 [325]  3.24  3.25  3.26  3.27  3.28  3.29  3.30  3.31  3.32  3.33  3.34  3.35
 [337]  3.36  3.37  3.38  3.39  3.40  3.41  3.42  3.43  3.44  3.45  3.46  3.47
 [349]  3.48  3.49  3.50  3.51  3.52  3.53  3.54  3.55  3.56  3.57  3.58  3.59
 [361]  3.60  3.61  3.62  3.63  3.64  3.65  3.66  3.67  3.68  3.69  3.70  3.71
 [373]  3.72  3.73  3.74  3.75  3.76  3.77  3.78  3.79  3.80  3.81  3.82  3.83
 [385]  3.84  3.85  3.86  3.87  3.88  3.89  3.90  3.91  3.92  3.93  3.94  3.95
 [397]  3.96  3.97  3.98  3.99  4.00  4.01  4.02  4.03  4.04  4.05  4.06  4.07
 [409]  4.08  4.09  4.10  4.11  4.12  4.13  4.14  4.15  4.16  4.17  4.18  4.19
 [421]  4.20  4.21  4.22  4.23  4.24  4.25  4.26  4.27  4.28  4.29  4.30  4.31
 [433]  4.32  4.33  4.34  4.35  4.36  4.37  4.38  4.39  4.40  4.41  4.42  4.43
 [445]  4.44  4.45  4.46  4.47  4.48  4.49  4.50  4.51  4.52  4.53  4.54  4.55
 [457]  4.56  4.57  4.58  4.59  4.60  4.61  4.62  4.63  4.64  4.65  4.66  4.67
 [469]  4.68  4.69  4.70  4.71  4.72  4.73  4.74  4.75  4.76  4.77  4.78  4.79
 [481]  4.80  4.81  4.82  4.83  4.84  4.85  4.86  4.87  4.88  4.89  4.90  4.91
 [493]  4.92  4.93  4.94  4.95  4.96  4.97  4.98  4.99  5.00  5.01  5.02  5.03
 [505]  5.04  5.05  5.06  5.07  5.08  5.09  5.10  5.11  5.12  5.13  5.14  5.15
 [517]  5.16  5.17  5.18  5.19  5.20  5.21  5.22  5.23  5.24  5.25  5.26  5.27
 [529]  5.28  5.29  5.30  5.31  5.32  5.33  5.34  5.35  5.36  5.37  5.38  5.39
 [541]  5.40  5.41  5.42  5.43  5.44  5.45  5.46  5.47  5.48  5.49  5.50  5.51
 [553]  5.52  5.53  5.54  5.55  5.56  5.57  5.58  5.59  5.60  5.61  5.62  5.63
 [565]  5.64  5.65  5.66  5.67  5.68  5.69  5.70  5.71  5.72  5.73  5.74  5.75
 [577]  5.76  5.77  5.78  5.79  5.80  5.81  5.82  5.83  5.84  5.85  5.86  5.87
 [589]  5.88  5.89  5.90  5.91  5.92  5.93  5.94  5.95  5.96  5.97  5.98  5.99
 [601]  6.00  6.01  6.02  6.03  6.04  6.05  6.06  6.07  6.08  6.09  6.10  6.11
 [613]  6.12  6.13  6.14  6.15  6.16  6.17  6.18  6.19  6.20  6.21  6.22  6.23
 [625]  6.24  6.25  6.26  6.27  6.28  6.29  6.30  6.31  6.32  6.33  6.34  6.35
 [637]  6.36  6.37  6.38  6.39  6.40  6.41  6.42  6.43  6.44  6.45  6.46  6.47
 [649]  6.48  6.49  6.50  6.51  6.52  6.53  6.54  6.55  6.56  6.57  6.58  6.59
 [661]  6.60  6.61  6.62  6.63  6.64  6.65  6.66  6.67  6.68  6.69  6.70  6.71
 [673]  6.72  6.73  6.74  6.75  6.76  6.77  6.78  6.79  6.80  6.81  6.82  6.83
 [685]  6.84  6.85  6.86  6.87  6.88  6.89  6.90  6.91  6.92  6.93  6.94  6.95
 [697]  6.96  6.97  6.98  6.99  7.00  7.01  7.02  7.03  7.04  7.05  7.06  7.07
 [709]  7.08  7.09  7.10  7.11  7.12  7.13  7.14  7.15  7.16  7.17  7.18  7.19
 [721]  7.20  7.21  7.22  7.23  7.24  7.25  7.26  7.27  7.28  7.29  7.30  7.31
 [733]  7.32  7.33  7.34  7.35  7.36  7.37  7.38  7.39  7.40  7.41  7.42  7.43
 [745]  7.44  7.45  7.46  7.47  7.48  7.49  7.50  7.51  7.52  7.53  7.54  7.55
 [757]  7.56  7.57  7.58  7.59  7.60  7.61  7.62  7.63  7.64  7.65  7.66  7.67
 [769]  7.68  7.69  7.70  7.71  7.72  7.73  7.74  7.75  7.76  7.77  7.78  7.79
 [781]  7.80  7.81  7.82  7.83  7.84  7.85  7.86  7.87  7.88  7.89  7.90  7.91
 [793]  7.92  7.93  7.94  7.95  7.96  7.97  7.98  7.99  8.00  8.01  8.02  8.03
 [805]  8.04  8.05  8.06  8.07  8.08  8.09  8.10  8.11  8.12  8.13  8.14  8.15
 [817]  8.16  8.17  8.18  8.19  8.20  8.21  8.22  8.23  8.24  8.25  8.26  8.27
 [829]  8.28  8.29  8.30  8.31  8.32  8.33  8.34  8.35  8.36  8.37  8.38  8.39
 [841]  8.40  8.41  8.42  8.43  8.44  8.45  8.46  8.47  8.48  8.49  8.50  8.51
 [853]  8.52  8.53  8.54  8.55  8.56  8.57  8.58  8.59  8.60  8.61  8.62  8.63
 [865]  8.64  8.65  8.66  8.67  8.68  8.69  8.70  8.71  8.72  8.73  8.74  8.75
 [877]  8.76  8.77  8.78  8.79  8.80  8.81  8.82  8.83  8.84  8.85  8.86  8.87
 [889]  8.88  8.89  8.90  8.91  8.92  8.93  8.94  8.95  8.96  8.97  8.98  8.99
 [901]  9.00  9.01  9.02  9.03  9.04  9.05  9.06  9.07  9.08  9.09  9.10  9.11
 [913]  9.12  9.13  9.14  9.15  9.16  9.17  9.18  9.19  9.20  9.21  9.22  9.23
 [925]  9.24  9.25  9.26  9.27  9.28  9.29  9.30  9.31  9.32  9.33  9.34  9.35
 [937]  9.36  9.37  9.38  9.39  9.40  9.41  9.42  9.43  9.44  9.45  9.46  9.47
 [949]  9.48  9.49  9.50  9.51  9.52  9.53  9.54  9.55  9.56  9.57  9.58  9.59
 [961]  9.60  9.61  9.62  9.63  9.64  9.65  9.66  9.67  9.68  9.69  9.70  9.71
 [973]  9.72  9.73  9.74  9.75  9.76  9.77  9.78  9.79  9.80  9.81  9.82  9.83
 [985]  9.84  9.85  9.86  9.87  9.88  9.89  9.90  9.91  9.92  9.93  9.94  9.95
 [997]  9.96  9.97  9.98  9.99 10.00 10.01 10.02 10.03 10.04 10.05 10.06 10.07
[1009] 10.08 10.09 10.10 10.11 10.12 10.13 10.14 10.15 10.16 10.17 10.18 10.19
[1021] 10.20 10.21 10.22 10.23 10.24 10.25 10.26 10.27 10.28 10.29 10.30 10.31
[1033] 10.32 10.33 10.34 10.35 10.36 10.37 10.38 10.39 10.40 10.41 10.42 10.43
[1045] 10.44 10.45 10.46 10.47 10.48 10.49 10.50 10.51 10.52 10.53 10.54 10.55
[1057] 10.56 10.57 10.58 10.59 10.60 10.61 10.62 10.63 10.64 10.65 10.66 10.67
[1069] 10.68 10.69 10.70 10.71 10.72 10.73 10.74 10.75 10.76 10.77 10.78 10.79
[1081] 10.80 10.81 10.82 10.83 10.84 10.85 10.86 10.87 10.88 10.89 10.90 10.91
[1093] 10.92 10.93 10.94 10.95 10.96 10.97 10.98 10.99 11.00 11.01 11.02 11.03
[1105] 11.04 11.05 11.06 11.07 11.08 11.09 11.10 11.11 11.12 11.13 11.14 11.15
[1117] 11.16 11.17 11.18 11.19 11.20 11.21 11.22 11.23 11.24 11.25 11.26 11.27
[1129] 11.28 11.29 11.30 11.31 11.32 11.33 11.34 11.35 11.36 11.37 11.38 11.39
[1141] 11.40 11.41 11.42 11.43 11.44 11.45 11.46 11.47 11.48 11.49 11.50 11.51
[1153] 11.52 11.53 11.54 11.55 11.56 11.57 11.58 11.59 11.60 11.61 11.62 11.63
[1165] 11.64 11.65 11.66 11.67 11.68 11.69 11.70 11.71 11.72 11.73 11.74 11.75
[1177] 11.76 11.77 11.78 11.79 11.80 11.81 11.82 11.83 11.84 11.85 11.86 11.87
[1189] 11.88 11.89 11.90 11.91 11.92 11.93 11.94 11.95 11.96 11.97 11.98 11.99
[1201] 12.00 12.01 12.02 12.03 12.04 12.05 12.06 12.07 12.08 12.09 12.10 12.11
[1213] 12.12 12.13 12.14 12.15 12.16 12.17 12.18 12.19 12.20 12.21 12.22 12.23
[1225] 12.24 12.25 12.26 12.27 12.28 12.29 12.30 12.31 12.32 12.33 12.34 12.35
[1237] 12.36 12.37 12.38 12.39 12.40 12.41 12.42 12.43 12.44 12.45 12.46 12.47
[1249] 12.48 12.49 12.50 12.51 12.52 12.53 12.54 12.55 12.56 12.57 12.58 12.59
[1261] 12.60 12.61 12.62 12.63 12.64 12.65 12.66 12.67 12.68 12.69 12.70 12.71
[1273] 12.72 12.73 12.74 12.75 12.76 12.77 12.78 12.79 12.80 12.81 12.82 12.83
[1285] 12.84 12.85 12.86 12.87 12.88 12.89 12.90 12.91 12.92 12.93 12.94 12.95
[1297] 12.96 12.97 12.98 12.99 13.00 13.01 13.02 13.03 13.04 13.05 13.06 13.07
[1309] 13.08 13.09 13.10 13.11 13.12 13.13 13.14 13.15 13.16 13.17 13.18 13.19
[1321] 13.20 13.21 13.22 13.23 13.24 13.25 13.26 13.27 13.28 13.29 13.30 13.31
[1333] 13.32 13.33 13.34 13.35 13.36 13.37 13.38 13.39 13.40 13.41 13.42 13.43
[1345] 13.44 13.45 13.46 13.47 13.48 13.49 13.50 13.51 13.52 13.53 13.54 13.55
[1357] 13.56 13.57 13.58 13.59 13.60 13.61 13.62 13.63 13.64 13.65 13.66 13.67
[1369] 13.68 13.69 13.70 13.71 13.72 13.73 13.74 13.75 13.76 13.77 13.78 13.79
[1381] 13.80 13.81 13.82 13.83 13.84 13.85 13.86 13.87 13.88 13.89 13.90 13.91
[1393] 13.92 13.93 13.94 13.95 13.96 13.97 13.98 13.99 14.00 14.01 14.02 14.03
[1405] 14.04 14.05 14.06 14.07 14.08 14.09 14.10 14.11 14.12 14.13 14.14 14.15
[1417] 14.16 14.17 14.18 14.19 14.20 14.21 14.22 14.23 14.24 14.25 14.26 14.27
[1429] 14.28 14.29 14.30 14.31 14.32 14.33 14.34 14.35 14.36 14.37 14.38 14.39
[1441] 14.40 14.41 14.42 14.43 14.44 14.45 14.46 14.47 14.48 14.49 14.50 14.51
[1453] 14.52 14.53 14.54 14.55 14.56 14.57 14.58 14.59 14.60 14.61 14.62 14.63
[1465] 14.64 14.65 14.66 14.67 14.68 14.69 14.70 14.71 14.72 14.73 14.74 14.75
[1477] 14.76 14.77 14.78 14.79 14.80 14.81 14.82 14.83 14.84 14.85 14.86 14.87
[1489] 14.88 14.89 14.90 14.91 14.92 14.93 14.94 14.95 14.96 14.97 14.98 14.99
[1501] 15.00 15.01 15.02 15.03 15.04 15.05 15.06 15.07 15.08 15.09 15.10 15.11
[1513] 15.12 15.13 15.14 15.15 15.16 15.17 15.18 15.19 15.20 15.21 15.22 15.23
[1525] 15.24 15.25 15.26 15.27 15.28 15.29 15.30 15.31 15.32 15.33 15.34 15.35
[1537] 15.36 15.37 15.38 15.39 15.40 15.41 15.42 15.43 15.44 15.45 15.46 15.47
[1549] 15.48 15.49 15.50 15.51 15.52 15.53 15.54 15.55 15.56 15.57 15.58 15.59
[1561] 15.60 15.61 15.62 15.63 15.64 15.65 15.66 15.67 15.68 15.69 15.70 15.71
[1573] 15.72 15.73 15.74 15.75 15.76 15.77 15.78 15.79 15.80 15.81 15.82 15.83
[1585] 15.84 15.85 15.86 15.87 15.88 15.89 15.90 15.91 15.92 15.93 15.94 15.95
[1597] 15.96 15.97 15.98 15.99 16.00 16.01 16.02 16.03 16.04 16.05 16.06 16.07
[1609] 16.08 16.09 16.10 16.11 16.12 16.13 16.14 16.15 16.16 16.17 16.18 16.19
[1621] 16.20 16.21 16.22 16.23 16.24 16.25 16.26 16.27 16.28 16.29 16.30 16.31
[1633] 16.32 16.33 16.34 16.35 16.36 16.37 16.38 16.39 16.40 16.41 16.42 16.43
[1645] 16.44 16.45 16.46 16.47 16.48 16.49 16.50 16.51 16.52 16.53 16.54 16.55
[1657] 16.56 16.57 16.58 16.59 16.60 16.61 16.62 16.63 16.64 16.65 16.66 16.67
[1669] 16.68 16.69 16.70 16.71 16.72 16.73 16.74 16.75 16.76 16.77 16.78 16.79
[1681] 16.80 16.81 16.82 16.83 16.84 16.85 16.86 16.87 16.88 16.89 16.90 16.91
[1693] 16.92 16.93 16.94 16.95 16.96 16.97 16.98 16.99 17.00 17.01 17.02 17.03
[1705] 17.04 17.05 17.06 17.07 17.08 17.09 17.10 17.11 17.12 17.13 17.14 17.15
[1717] 17.16 17.17 17.18 17.19 17.20 17.21 17.22 17.23 17.24 17.25 17.26 17.27
[1729] 17.28 17.29 17.30 17.31 17.32 17.33 17.34 17.35 17.36 17.37 17.38 17.39
[1741] 17.40 17.41 17.42 17.43 17.44 17.45 17.46 17.47 17.48 17.49 17.50 17.51
[1753] 17.52 17.53 17.54 17.55 17.56 17.57 17.58 17.59 17.60 17.61 17.62 17.63
[1765] 17.64 17.65 17.66 17.67 17.68 17.69 17.70 17.71 17.72 17.73 17.74 17.75
[1777] 17.76 17.77 17.78 17.79 17.80 17.81 17.82 17.83 17.84 17.85 17.86 17.87
[1789] 17.88 17.89 17.90 17.91 17.92 17.93 17.94 17.95 17.96 17.97 17.98 17.99
[1801] 18.00 18.01 18.02 18.03 18.04 18.05 18.06 18.07 18.08 18.09 18.10 18.11
[1813] 18.12 18.13 18.14 18.15 18.16 18.17 18.18 18.19 18.20 18.21 18.22 18.23
[1825] 18.24 18.25 18.26 18.27 18.28 18.29 18.30 18.31 18.32 18.33 18.34 18.35
[1837] 18.36 18.37 18.38 18.39 18.40 18.41 18.42 18.43 18.44 18.45 18.46 18.47
[1849] 18.48 18.49 18.50 18.51 18.52 18.53 18.54 18.55 18.56 18.57 18.58 18.59
[1861] 18.60 18.61 18.62 18.63 18.64 18.65 18.66 18.67 18.68 18.69 18.70 18.71
[1873] 18.72 18.73 18.74 18.75 18.76 18.77 18.78 18.79 18.80 18.81 18.82 18.83
[1885] 18.84 18.85 18.86 18.87 18.88 18.89 18.90 18.91 18.92 18.93 18.94 18.95
[1897] 18.96 18.97 18.98 18.99 19.00 19.01 19.02 19.03 19.04 19.05 19.06 19.07
[1909] 19.08 19.09 19.10 19.11 19.12 19.13 19.14 19.15 19.16 19.17 19.18 19.19
[1921] 19.20 19.21 19.22 19.23 19.24 19.25 19.26 19.27 19.28 19.29 19.30 19.31
[1933] 19.32 19.33 19.34 19.35 19.36 19.37 19.38 19.39 19.40 19.41 19.42 19.43
[1945] 19.44 19.45 19.46 19.47 19.48 19.49 19.50 19.51 19.52 19.53 19.54 19.55
[1957] 19.56 19.57 19.58 19.59 19.60 19.61 19.62 19.63 19.64 19.65 19.66 19.67
[1969] 19.68 19.69 19.70 19.71 19.72 19.73 19.74 19.75 19.76 19.77 19.78 19.79
[1981] 19.80 19.81 19.82 19.83 19.84 19.85 19.86 19.87 19.88 19.89 19.90 19.91
[1993] 19.92 19.93 19.94 19.95 19.96 19.97 19.98 19.99 20.00

$tlim
[1]  0 20

$tstep
[1] 0.01

$x
            [,1]     [,2]     [,3]      [,4]     [,5]
   [1,] 1.000000 2.000000 3.000000 0.5000000 4.000000
   [2,] 1.004000 2.001011 3.002000 0.5035018 4.002990
   [3,] 1.008002 2.002044 3.004002 0.5070070 4.005962
   [4,] 1.012004 2.003098 3.006004 0.5105159 4.008915
   [5,] 1.016008 2.004173 3.008008 0.5140284 4.011848
   [6,] 1.020012 2.005270 3.010012 0.5175444 4.014764
   [7,] 1.024017 2.006387 3.012017 0.5210642 4.017661
   [8,] 1.028023 2.007524 3.014023 0.5245876 4.020540
   [9,] 1.032029 2.008682 3.016029 0.5281147 4.023400
  [10,] 1.036037 2.009860 3.018037 0.5316455 4.026243
  [11,] 1.040045 2.011057 3.020045 0.5351801 4.029068
  [12,] 1.044054 2.012275 3.022054 0.5387185 4.031876
  [13,] 1.048063 2.013511 3.024063 0.5422606 4.034665
  [14,] 1.052073 2.014766 3.026074 0.5458066 4.037438
  [15,] 1.056084 2.016041 3.028084 0.5493564 4.040193
  [16,] 1.060095 2.017334 3.030096 0.5529101 4.042931
  [17,] 1.064107 2.018645 3.032108 0.5564676 4.045653
  [18,] 1.068119 2.019974 3.034120 0.5600289 4.048357
  [19,] 1.072132 2.021322 3.036134 0.5635942 4.051045
  [20,] 1.076145 2.022687 3.038147 0.5671634 4.053716
  [21,] 1.080159 2.024070 3.040161 0.5707365 4.056371
  [22,] 1.084173 2.025470 3.042176 0.5743135 4.059010
  [23,] 1.088187 2.026887 3.044191 0.5778944 4.061633
  [24,] 1.092202 2.028321 3.046206 0.5814793 4.064239
  [25,] 1.096217 2.029772 3.048222 0.5850681 4.066830
  [26,] 1.100232 2.031240 3.050238 0.5886609 4.069405
  [27,] 1.104247 2.032723 3.052254 0.5922576 4.071965
  [28,] 1.108263 2.034223 3.054271 0.5958583 4.074509
  [29,] 1.112279 2.035739 3.056288 0.5994629 4.077038
  [30,] 1.116295 2.037271 3.058305 0.6030715 4.079551
  [31,] 1.120311 2.038818 3.060322 0.6066841 4.082049
  [32,] 1.124327 2.040380 3.062340 0.6103007 4.084533
  [33,] 1.128343 2.041958 3.064358 0.6139212 4.087002
  [34,] 1.132359 2.043551 3.066375 0.6175457 4.089456
  [35,] 1.136375 2.045159 3.068394 0.6211741 4.091895
  [36,] 1.140391 2.046781 3.070412 0.6248065 4.094320
  [37,] 1.144407 2.048418 3.072430 0.6284429 4.096730
  [38,] 1.148423 2.050069 3.074449 0.6320832 4.099127
  [39,] 1.152439 2.051734 3.076467 0.6357275 4.101509
  [40,] 1.156455 2.053413 3.078485 0.6393757 4.103877
  [41,] 1.160470 2.055106 3.080504 0.6430278 4.106232
  [42,] 1.164486 2.056813 3.082522 0.6466839 4.108572
  [43,] 1.168501 2.058533 3.084541 0.6503439 4.110899
  [44,] 1.172515 2.060267 3.086559 0.6540078 4.113213
  [45,] 1.176530 2.062014 3.088578 0.6576757 4.115513
  [46,] 1.180544 2.063773 3.090596 0.6613474 4.117800
  [47,] 1.184557 2.065546 3.092614 0.6650230 4.120073
  [48,] 1.188571 2.067331 3.094632 0.6687024 4.122334
  [49,] 1.192584 2.069129 3.096650 0.6723858 4.124581
  [50,] 1.196596 2.070939 3.098668 0.6760729 4.126816
  [51,] 1.200608 2.072762 3.100685 0.6797639 4.129038
  [52,] 1.204619 2.074597 3.102703 0.6834588 4.131247
  [53,] 1.208630 2.076443 3.104720 0.6871574 4.133444
  [54,] 1.212641 2.078302 3.106737 0.6908599 4.135628
  [55,] 1.216650 2.080172 3.108753 0.6945661 4.137800
  [56,] 1.220660 2.082053 3.110770 0.6982760 4.139959
  [57,] 1.224668 2.083946 3.112786 0.7019898 4.142107
  [58,] 1.228676 2.085850 3.114802 0.7057072 4.144242
  [59,] 1.232683 2.087766 3.116817 0.7094284 4.146366
  [60,] 1.236689 2.089692 3.118832 0.7131532 4.148478
  [61,] 1.240695 2.091629 3.120847 0.7168817 4.150578
  [62,] 1.244700 2.093577 3.122861 0.7206139 4.152666
  [63,] 1.248704 2.095535 3.124875 0.7243497 4.154743
  [64,] 1.252707 2.097504 3.126889 0.7280892 4.156808
  [65,] 1.256709 2.099483 3.128902 0.7318322 4.158862
  [66,] 1.260711 2.101473 3.130915 0.7355788 4.160905
  [67,] 1.264711 2.103472 3.132927 0.7393290 4.162937
  [68,] 1.268711 2.105482 3.134939 0.7430827 4.164957
  [69,] 1.272710 2.107501 3.136950 0.7468399 4.166967
  [70,] 1.276707 2.109530 3.138961 0.7506006 4.168966
  [71,] 1.280704 2.111568 3.140971 0.7543647 4.170953
  [72,] 1.284699 2.113616 3.142981 0.7581324 4.172931
  [73,] 1.288694 2.115674 3.144990 0.7619034 4.174897
  [74,] 1.292687 2.117740 3.146998 0.7656778 4.176853
  [75,] 1.296679 2.119816 3.149006 0.7694556 4.178799
  [76,] 1.300670 2.121901 3.151014 0.7732368 4.180734
  [77,] 1.304660 2.123994 3.153021 0.7770212 4.182659
  [78,] 1.308649 2.126096 3.155027 0.7808090 4.184574
  [79,] 1.312636 2.128207 3.157033 0.7846001 4.186479
  [80,] 1.316623 2.130327 3.159038 0.7883944 4.188374
  [81,] 1.320608 2.132455 3.161042 0.7921919 4.190258
  [82,] 1.324591 2.134591 3.163045 0.7959926 4.192133
  [83,] 1.328574 2.136735 3.165048 0.7997965 4.193999
  [84,] 1.332555 2.138888 3.167051 0.8036035 4.195854
  [85,] 1.336534 2.141049 3.169052 0.8074136 4.197700
  [86,] 1.340512 2.143217 3.171053 0.8112268 4.199536
  [87,] 1.344489 2.145394 3.173053 0.8150431 4.201363
  [88,] 1.348464 2.147578 3.175052 0.8188624 4.203181
  [89,] 1.352438 2.149769 3.177051 0.8226848 4.204989
  [90,] 1.356411 2.151968 3.179049 0.8265100 4.206788
  [91,] 1.360382 2.154175 3.181046 0.8303383 4.208578
  [92,] 1.364351 2.156389 3.183042 0.8341694 4.210359
  [93,] 1.368319 2.158610 3.185037 0.8380035 4.212131
  [94,] 1.372285 2.160838 3.187032 0.8418404 4.213894
  [95,] 1.376249 2.163073 3.189025 0.8456801 4.215648
  [96,] 1.380212 2.165316 3.191018 0.8495226 4.217394
  [97,] 1.384174 2.167565 3.193010 0.8533679 4.219131
  [98,] 1.388133 2.169820 3.195001 0.8572160 4.220859
  [99,] 1.392091 2.172083 3.196992 0.8610667 4.222578
 [100,] 1.396047 2.174352 3.198981 0.8649201 4.224290
 [101,] 1.400002 2.176627 3.200969 0.8687762 4.225992
 [102,] 1.403954 2.178909 3.202957 0.8726349 4.227687
 [103,] 1.407905 2.181197 3.204944 0.8764961 4.229373
 [104,] 1.411854 2.183492 3.206929 0.8803600 4.231051
 [105,] 1.415802 2.185792 3.208914 0.8842263 4.232721
 [106,] 1.419747 2.188099 3.210898 0.8880951 4.234382
 [107,] 1.423691 2.190411 3.212881 0.8919664 4.236036
 [108,] 1.427632 2.192730 3.214862 0.8958402 4.237682
 [109,] 1.431572 2.195054 3.216843 0.8997163 4.239320
 [110,] 1.435510 2.197384 3.218823 0.9035948 4.240950
 [111,] 1.439446 2.199720 3.220802 0.9074756 4.242573
 [112,] 1.443380 2.202061 3.222780 0.9113587 4.244187
 [113,] 1.447312 2.204407 3.224757 0.9152441 4.245795
 [114,] 1.451242 2.206759 3.226732 0.9191317 4.247394
 [115,] 1.455170 2.209117 3.228707 0.9230215 4.248986
 [116,] 1.459096 2.211479 3.230681 0.9269135 4.250571
 [117,] 1.463019 2.213847 3.232653 0.9308076 4.252149
 [118,] 1.466941 2.216220 3.234625 0.9347039 4.253719
 [119,] 1.470861 2.218598 3.236595 0.9386022 4.255281
 [120,] 1.474778 2.220980 3.238565 0.9425025 4.256837
 [121,] 1.478693 2.223368 3.240533 0.9464048 4.258386
 [122,] 1.482607 2.225761 3.242500 0.9503092 4.259927
 [123,] 1.486518 2.228158 3.244466 0.9542154 4.261462
 [124,] 1.490426 2.230560 3.246431 0.9581236 4.262989
 [125,] 1.494333 2.232966 3.248395 0.9620336 4.264510
 [126,] 1.498237 2.235377 3.250358 0.9659455 4.266024
 [127,] 1.502139 2.237793 3.252319 0.9698592 4.267531
 [128,] 1.506039 2.240212 3.254280 0.9737746 4.269031
 [129,] 1.509937 2.242637 3.256239 0.9776918 4.270525
 [130,] 1.513832 2.245065 3.258197 0.9816107 4.272012
 [131,] 1.517725 2.247497 3.260154 0.9855313 4.273492
 [132,] 1.521615 2.249934 3.262109 0.9894535 4.274966
 [133,] 1.525503 2.252375 3.264064 0.9933773 4.276434
 [134,] 1.529389 2.254820 3.266017 0.9973027 4.277895
 [135,] 1.533273 2.257268 3.267969 1.0012297 4.279349
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 [138,] 1.544908 2.264637 3.273818 1.0130193 4.283676
 [139,] 1.548782 2.267101 3.275765 1.0169521 4.285106
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 [141,] 1.556522 2.272039 3.279656 1.0248217 4.287948
 [142,] 1.560388 2.274513 3.281599 1.0287584 4.289359
 [143,] 1.564252 2.276991 3.283541 1.0326965 4.290765
 [144,] 1.568113 2.279472 3.285482 1.0366358 4.292165
 [145,] 1.571972 2.281956 3.287422 1.0405762 4.293559
 [146,] 1.575828 2.284444 3.289360 1.0445179 4.294947
 [147,] 1.579681 2.286935 3.291297 1.0484607 4.296330
 [148,] 1.583532 2.289429 3.293233 1.0524046 4.297707
 [149,] 1.587380 2.291926 3.295167 1.0563495 4.299078
 [150,] 1.591226 2.294427 3.297100 1.0602955 4.300443
 [151,] 1.595069 2.296930 3.299032 1.0642426 4.301803
 [152,] 1.598909 2.299436 3.300963 1.0681905 4.303158
 [153,] 1.602747 2.301945 3.302892 1.0721395 4.304506
 [154,] 1.606582 2.304457 3.304820 1.0760893 4.305850
 [155,] 1.610414 2.306971 3.306746 1.0800400 4.307188
 [156,] 1.614244 2.309489 3.308671 1.0839915 4.308521
 [157,] 1.618071 2.312008 3.310595 1.0879439 4.309848
 [158,] 1.621895 2.314531 3.312518 1.0918970 4.311170
 [159,] 1.625716 2.317056 3.314439 1.0958509 4.312487
 [160,] 1.629535 2.319584 3.316358 1.0998055 4.313799
 [161,] 1.633351 2.322114 3.318277 1.1037607 4.315105
 [162,] 1.637164 2.324646 3.320194 1.1077167 4.316407
 [163,] 1.640974 2.327181 3.322109 1.1116732 4.317703
 [164,] 1.644782 2.329718 3.324024 1.1156303 4.318995
 [165,] 1.648586 2.332258 3.325937 1.1195879 4.320281
 [166,] 1.652388 2.334800 3.327848 1.1235461 4.321563
 [167,] 1.656187 2.337344 3.329758 1.1275048 4.322839
 [168,] 1.659983 2.339890 3.331667 1.1314639 4.324111
 [169,] 1.663776 2.342438 3.333574 1.1354234 4.325378
 [170,] 1.667567 2.344988 3.335480 1.1393834 4.326640
 [171,] 1.671354 2.347540 3.337384 1.1433437 4.327897
 [172,] 1.675139 2.350094 3.339288 1.1473043 4.329150
 [173,] 1.678920 2.352650 3.341189 1.1512652 4.330398
 [174,] 1.682699 2.355208 3.343089 1.1552264 4.331641
 [175,] 1.686475 2.357767 3.344988 1.1591878 4.332880
 [176,] 1.690248 2.360329 3.346886 1.1631495 4.334114
 [177,] 1.694017 2.362892 3.348781 1.1671113 4.335344
 [178,] 1.697784 2.365457 3.350676 1.1710732 4.336569
 [179,] 1.701548 2.368024 3.352569 1.1750353 4.337790
 [180,] 1.705309 2.370592 3.354461 1.1789975 4.339006
 [181,] 1.709067 2.373161 3.356351 1.1829597 4.340218
 [182,] 1.712822 2.375733 3.358240 1.1869219 4.341426
 [183,] 1.716574 2.378306 3.360127 1.1908842 4.342629
 [184,] 1.720323 2.380880 3.362013 1.1948464 4.343828
 [185,] 1.724069 2.383455 3.363897 1.1988085 4.345023
 [186,] 1.727812 2.386032 3.365780 1.2027706 4.346213
 [187,] 1.731551 2.388611 3.367661 1.2067326 4.347400
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 [189,] 1.739022 2.393771 3.371420 1.2146560 4.349760
 [190,] 1.742752 2.396354 3.373297 1.2186174 4.350934
 [191,] 1.746480 2.398937 3.375173 1.2225786 4.352105
 [192,] 1.750204 2.401522 3.377047 1.2265396 4.353271
 [193,] 1.753926 2.404107 3.378920 1.2305002 4.354433
 [194,] 1.757644 2.406694 3.380791 1.2344606 4.355591
 [195,] 1.761359 2.409282 3.382660 1.2384206 4.356745
 [196,] 1.765071 2.411871 3.384529 1.2423803 4.357896
 [197,] 1.768780 2.414461 3.386396 1.2463395 4.359042
 [198,] 1.772486 2.417052 3.388261 1.2502984 4.360185
 [199,] 1.776189 2.419643 3.390125 1.2542568 4.361324
 [200,] 1.779888 2.422236 3.391987 1.2582147 4.362459
 [201,] 1.783585 2.424830 3.393848 1.2621722 4.363591
 [202,] 1.787278 2.427424 3.395708 1.2661292 4.364719
 [203,] 1.790968 2.430019 3.397566 1.2700856 4.365843
 [204,] 1.794655 2.432616 3.399422 1.2740414 4.366964
 [205,] 1.798339 2.435212 3.401277 1.2779967 4.368081
 [206,] 1.802020 2.437810 3.403131 1.2819513 4.369194
 [207,] 1.805697 2.440408 3.404983 1.2859054 4.370304
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 [210,] 1.816711 2.448207 3.410531 1.2977635 4.373614
 [211,] 1.820376 2.450808 3.412377 1.3017148 4.374710
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 [216,] 1.838653 2.463820 3.421588 1.3214598 4.380142
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 [232,] 1.896613 2.505529 3.450830 1.3844962 4.397011
 [233,] 1.900209 2.508138 3.452647 1.3884277 4.398042
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 [241,] 1.928872 2.529022 3.467138 1.4198431 4.406198
 [242,] 1.932442 2.531634 3.468944 1.4237655 4.407208
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[1723,] 5.010694 5.122946 5.323708 4.9050500 5.528354
[1724,] 5.010877 5.123012 5.323565 4.9053431 5.527998
[1725,] 5.011059 5.123077 5.323422 4.9056359 5.527643
[1726,] 5.011241 5.123143 5.323279 4.9059284 5.527289
[1727,] 5.011423 5.123208 5.323136 4.9062206 5.526934
[1728,] 5.011605 5.123273 5.322993 4.9065125 5.526580
[1729,] 5.011787 5.123339 5.322851 4.9068041 5.526227
[1730,] 5.011968 5.123404 5.322709 4.9070953 5.525874
[1731,] 5.012150 5.123469 5.322566 4.9073863 5.525521
[1732,] 5.012331 5.123534 5.322424 4.9076769 5.525168
[1733,] 5.012512 5.123599 5.322282 4.9079673 5.524816
[1734,] 5.012693 5.123664 5.322141 4.9082573 5.524464
[1735,] 5.012873 5.123729 5.321999 4.9085471 5.524113
[1736,] 5.013054 5.123793 5.321858 4.9088365 5.523762
[1737,] 5.013234 5.123858 5.321716 4.9091257 5.523411
[1738,] 5.013414 5.123923 5.321575 4.9094145 5.523061
[1739,] 5.013594 5.123987 5.321434 4.9097030 5.522711
[1740,] 5.013773 5.124052 5.321293 4.9099913 5.522362
[1741,] 5.013953 5.124116 5.321152 4.9102792 5.522013
[1742,] 5.014132 5.124180 5.321012 4.9105668 5.521664
[1743,] 5.014311 5.124245 5.320871 4.9108542 5.521315
[1744,] 5.014490 5.124309 5.320731 4.9111412 5.520967
[1745,] 5.014669 5.124373 5.320591 4.9114279 5.520619
[1746,] 5.014847 5.124437 5.320451 4.9117143 5.520272
[1747,] 5.015026 5.124501 5.320311 4.9120005 5.519925
[1748,] 5.015204 5.124565 5.320171 4.9122863 5.519578
[1749,] 5.015382 5.124629 5.320032 4.9125718 5.519232
[1750,] 5.015559 5.124693 5.319892 4.9128571 5.518886
[1751,] 5.015737 5.124757 5.319753 4.9131420 5.518540
[1752,] 5.015914 5.124820 5.319614 4.9134266 5.518195
[1753,] 5.016092 5.124884 5.319475 4.9137110 5.517850
[1754,] 5.016269 5.124948 5.319336 4.9139950 5.517506
[1755,] 5.016446 5.125011 5.319197 4.9142787 5.517162
[1756,] 5.016622 5.125074 5.319059 4.9145622 5.516818
[1757,] 5.016799 5.125138 5.318920 4.9148453 5.516474
[1758,] 5.016975 5.125201 5.318782 4.9151282 5.516131
[1759,] 5.017151 5.125264 5.318644 4.9154107 5.515789
[1760,] 5.017327 5.125328 5.318506 4.9156930 5.515446
[1761,] 5.017503 5.125391 5.318368 4.9159750 5.515104
[1762,] 5.017678 5.125454 5.318231 4.9162566 5.514762
[1763,] 5.017854 5.125517 5.318093 4.9165380 5.514421
[1764,] 5.018029 5.125580 5.317956 4.9168191 5.514080
[1765,] 5.018204 5.125642 5.317818 4.9170999 5.513740
[1766,] 5.018379 5.125705 5.317681 4.9173804 5.513399
[1767,] 5.018553 5.125768 5.317544 4.9176606 5.513059
[1768,] 5.018728 5.125830 5.317407 4.9179405 5.512720
[1769,] 5.018902 5.125893 5.317271 4.9182201 5.512381
[1770,] 5.019076 5.125956 5.317134 4.9184994 5.512042
[1771,] 5.019250 5.126018 5.316998 4.9187784 5.511703
[1772,] 5.019424 5.126080 5.316861 4.9190572 5.511365
[1773,] 5.019597 5.126143 5.316725 4.9193356 5.511027
[1774,] 5.019771 5.126205 5.316589 4.9196138 5.510690
[1775,] 5.019944 5.126267 5.316454 4.9198916 5.510353
[1776,] 5.020117 5.126329 5.316318 4.9201692 5.510016
[1777,] 5.020290 5.126391 5.316182 4.9204465 5.509680
[1778,] 5.020462 5.126453 5.316047 4.9207235 5.509343
[1779,] 5.020635 5.126515 5.315912 4.9210002 5.509008
[1780,] 5.020807 5.126577 5.315776 4.9212766 5.508672
[1781,] 5.020979 5.126639 5.315641 4.9215527 5.508337
[1782,] 5.021151 5.126701 5.315507 4.9218285 5.508003
[1783,] 5.021323 5.126762 5.315372 4.9221041 5.507668
[1784,] 5.021494 5.126824 5.315237 4.9223793 5.507334
[1785,] 5.021666 5.126885 5.315103 4.9226543 5.507001
[1786,] 5.021837 5.126947 5.314968 4.9229290 5.506667
[1787,] 5.022008 5.127008 5.314834 4.9232034 5.506335
[1788,] 5.022179 5.127070 5.314700 4.9234775 5.506002
[1789,] 5.022350 5.127131 5.314566 4.9237513 5.505670
[1790,] 5.022520 5.127192 5.314433 4.9240248 5.505338
[1791,] 5.022690 5.127253 5.314299 4.9242981 5.505006
[1792,] 5.022861 5.127314 5.314166 4.9245710 5.504675
[1793,] 5.023031 5.127375 5.314032 4.9248437 5.504344
[1794,] 5.023200 5.127436 5.313899 4.9251161 5.504014
[1795,] 5.023370 5.127497 5.313766 4.9253882 5.503683
[1796,] 5.023539 5.127558 5.313633 4.9256600 5.503354
[1797,] 5.023709 5.127619 5.313500 4.9259316 5.503024
[1798,] 5.023878 5.127680 5.313368 4.9262028 5.502695
[1799,] 5.024047 5.127740 5.313235 4.9264738 5.502366
[1800,] 5.024215 5.127801 5.313103 4.9267445 5.502038
[1801,] 5.024384 5.127861 5.312971 4.9270149 5.501709
[1802,] 5.024552 5.127922 5.312839 4.9272850 5.501382
[1803,] 5.024720 5.127982 5.312707 4.9275548 5.501054
[1804,] 5.024888 5.128042 5.312575 4.9278244 5.500727
[1805,] 5.025056 5.128103 5.312443 4.9280937 5.500400
[1806,] 5.025224 5.128163 5.312312 4.9283626 5.500074
[1807,] 5.025391 5.128223 5.312180 4.9286314 5.499748
[1808,] 5.025559 5.128283 5.312049 4.9288998 5.499422
[1809,] 5.025726 5.128343 5.311918 4.9291679 5.499096
[1810,] 5.025893 5.128403 5.311787 4.9294358 5.498771
[1811,] 5.026060 5.128463 5.311656 4.9297034 5.498447
[1812,] 5.026226 5.128523 5.311525 4.9299707 5.498122
[1813,] 5.026393 5.128583 5.311395 4.9302377 5.497798
[1814,] 5.026559 5.128642 5.311264 4.9305045 5.497474
[1815,] 5.026725 5.128702 5.311134 4.9307709 5.497151
[1816,] 5.026891 5.128761 5.311004 4.9310371 5.496828
[1817,] 5.027057 5.128821 5.310874 4.9313030 5.496505
[1818,] 5.027222 5.128880 5.310744 4.9315687 5.496183
[1819,] 5.027388 5.128940 5.310614 4.9318340 5.495860
[1820,] 5.027553 5.128999 5.310484 4.9320991 5.495539
[1821,] 5.027718 5.129058 5.310355 4.9323639 5.495217
[1822,] 5.027883 5.129118 5.310225 4.9326284 5.494896
[1823,] 5.028048 5.129177 5.310096 4.9328927 5.494575
[1824,] 5.028212 5.129236 5.309967 4.9331566 5.494255
[1825,] 5.028377 5.129295 5.309838 4.9334203 5.493935
[1826,] 5.028541 5.129354 5.309709 4.9336838 5.493615
[1827,] 5.028705 5.129413 5.309581 4.9339469 5.493296
[1828,] 5.028869 5.129472 5.309452 4.9342098 5.492977
[1829,] 5.029032 5.129530 5.309324 4.9344724 5.492658
[1830,] 5.029196 5.129589 5.309195 4.9347347 5.492339
[1831,] 5.029359 5.129648 5.309067 4.9349967 5.492021
[1832,] 5.029522 5.129706 5.308939 4.9352585 5.491704
[1833,] 5.029685 5.129765 5.308811 4.9355200 5.491386
[1834,] 5.029848 5.129823 5.308683 4.9357812 5.491069
[1835,] 5.030011 5.129882 5.308556 4.9360422 5.490752
[1836,] 5.030173 5.129940 5.308428 4.9363028 5.490436
[1837,] 5.030336 5.129998 5.308301 4.9365632 5.490120
[1838,] 5.030498 5.130057 5.308174 4.9368234 5.489804
[1839,] 5.030660 5.130115 5.308046 4.9370832 5.489488
[1840,] 5.030822 5.130173 5.307920 4.9373428 5.489173
[1841,] 5.030983 5.130231 5.307793 4.9376021 5.488858
[1842,] 5.031145 5.130289 5.307666 4.9378612 5.488544
[1843,] 5.031306 5.130347 5.307539 4.9381200 5.488230
[1844,] 5.031467 5.130405 5.307413 4.9383785 5.487916
[1845,] 5.031628 5.130463 5.307287 4.9386367 5.487602
[1846,] 5.031789 5.130520 5.307160 4.9388947 5.487289
[1847,] 5.031950 5.130578 5.307034 4.9391523 5.486976
[1848,] 5.032110 5.130636 5.306908 4.9394098 5.486664
[1849,] 5.032271 5.130693 5.306783 4.9396669 5.486351
[1850,] 5.032431 5.130751 5.306657 4.9399238 5.486040
[1851,] 5.032591 5.130808 5.306531 4.9401804 5.485728
[1852,] 5.032750 5.130865 5.306406 4.9404368 5.485417
[1853,] 5.032910 5.130923 5.306281 4.9406929 5.485106
[1854,] 5.033070 5.130980 5.306156 4.9409487 5.484795
[1855,] 5.033229 5.131037 5.306031 4.9412042 5.484485
[1856,] 5.033388 5.131094 5.305906 4.9414595 5.484175
[1857,] 5.033547 5.131152 5.305781 4.9417145 5.483865
[1858,] 5.033706 5.131209 5.305656 4.9419692 5.483556
[1859,] 5.033864 5.131266 5.305532 4.9422237 5.483247
[1860,] 5.034023 5.131322 5.305408 4.9424779 5.482938
[1861,] 5.034181 5.131379 5.305283 4.9427319 5.482630
[1862,] 5.034339 5.131436 5.305159 4.9429856 5.482322
[1863,] 5.034497 5.131493 5.305035 4.9432390 5.482014
[1864,] 5.034655 5.131549 5.304911 4.9434921 5.481707
[1865,] 5.034813 5.131606 5.304788 4.9437450 5.481400
[1866,] 5.034970 5.131663 5.304664 4.9439976 5.481093
[1867,] 5.035128 5.131719 5.304541 4.9442500 5.480786
[1868,] 5.035285 5.131776 5.304417 4.9445021 5.480480
[1869,] 5.035442 5.131832 5.304294 4.9447539 5.480174
[1870,] 5.035599 5.131888 5.304171 4.9450055 5.479869
[1871,] 5.035755 5.131945 5.304048 4.9452568 5.479564
[1872,] 5.035912 5.132001 5.303925 4.9455078 5.479259
[1873,] 5.036068 5.132057 5.303803 4.9457586 5.478954
[1874,] 5.036224 5.132113 5.303680 4.9460091 5.478650
[1875,] 5.036380 5.132169 5.303558 4.9462594 5.478346
[1876,] 5.036536 5.132225 5.303435 4.9465094 5.478043
[1877,] 5.036692 5.132281 5.303313 4.9467591 5.477739
[1878,] 5.036847 5.132337 5.303191 4.9470086 5.477436
[1879,] 5.037003 5.132392 5.303069 4.9472578 5.477134
[1880,] 5.037158 5.132448 5.302947 4.9475067 5.476831
[1881,] 5.037313 5.132504 5.302826 4.9477554 5.476529
[1882,] 5.037468 5.132560 5.302704 4.9480038 5.476227
[1883,] 5.037622 5.132615 5.302583 4.9482520 5.475926
[1884,] 5.037777 5.132671 5.302461 4.9484999 5.475625
[1885,] 5.037931 5.132726 5.302340 4.9487476 5.475324
[1886,] 5.038086 5.132781 5.302219 4.9489950 5.475024
[1887,] 5.038240 5.132837 5.302098 4.9492421 5.474723
[1888,] 5.038394 5.132892 5.301977 4.9494890 5.474424
[1889,] 5.038547 5.132947 5.301857 4.9497356 5.474124
[1890,] 5.038701 5.133002 5.301736 4.9499819 5.473825
[1891,] 5.038854 5.133057 5.301616 4.9502280 5.473526
[1892,] 5.039008 5.133113 5.301495 4.9504739 5.473227
[1893,] 5.039161 5.133168 5.301375 4.9507195 5.472929
[1894,] 5.039314 5.133222 5.301255 4.9509648 5.472631
[1895,] 5.039466 5.133277 5.301135 4.9512099 5.472333
[1896,] 5.039619 5.133332 5.301015 4.9514547 5.472036
[1897,] 5.039772 5.133387 5.300896 4.9516992 5.471739
[1898,] 5.039924 5.133442 5.300776 4.9519435 5.471442
[1899,] 5.040076 5.133496 5.300657 4.9521876 5.471146
[1900,] 5.040228 5.133551 5.300538 4.9524314 5.470849
[1901,] 5.040380 5.133605 5.300418 4.9526749 5.470554
[1902,] 5.040532 5.133660 5.300299 4.9529182 5.470258
[1903,] 5.040683 5.133714 5.300180 4.9531612 5.469963
[1904,] 5.040834 5.133769 5.300062 4.9534040 5.469668
[1905,] 5.040986 5.133823 5.299943 4.9536465 5.469373
[1906,] 5.041137 5.133877 5.299824 4.9538888 5.469079
[1907,] 5.041288 5.133931 5.299706 4.9541308 5.468785
[1908,] 5.041438 5.133985 5.299588 4.9543726 5.468491
[1909,] 5.041589 5.134039 5.299469 4.9546141 5.468198
[1910,] 5.041739 5.134094 5.299351 4.9548553 5.467905
[1911,] 5.041889 5.134147 5.299233 4.9550963 5.467612
[1912,] 5.042040 5.134201 5.299116 4.9553371 5.467319
[1913,] 5.042190 5.134255 5.298998 4.9555776 5.467027
[1914,] 5.042339 5.134309 5.298880 4.9558178 5.466735
[1915,] 5.042489 5.134363 5.298763 4.9560578 5.466444
[1916,] 5.042638 5.134416 5.298645 4.9562976 5.466153
[1917,] 5.042788 5.134470 5.298528 4.9565371 5.465862
[1918,] 5.042937 5.134524 5.298411 4.9567763 5.465571
[1919,] 5.043086 5.134577 5.298294 4.9570153 5.465281
[1920,] 5.043235 5.134631 5.298177 4.9572541 5.464990
[1921,] 5.043383 5.134684 5.298061 4.9574926 5.464701
[1922,] 5.043532 5.134737 5.297944 4.9577308 5.464411
[1923,] 5.043680 5.134791 5.297828 4.9579688 5.464122
[1924,] 5.043829 5.134844 5.297711 4.9582066 5.463833
[1925,] 5.043977 5.134897 5.297595 4.9584441 5.463545
[1926,] 5.044125 5.134950 5.297479 4.9586813 5.463256
[1927,] 5.044272 5.135003 5.297363 4.9589183 5.462968
[1928,] 5.044420 5.135056 5.297247 4.9591551 5.462681
[1929,] 5.044567 5.135109 5.297131 4.9593916 5.462393
[1930,] 5.044715 5.135162 5.297016 4.9596279 5.462106
[1931,] 5.044862 5.135215 5.296900 4.9598639 5.461819
[1932,] 5.045009 5.135268 5.296785 4.9600996 5.461533
[1933,] 5.045156 5.135321 5.296669 4.9603352 5.461247
[1934,] 5.045302 5.135373 5.296554 4.9605704 5.460961
[1935,] 5.045449 5.135426 5.296439 4.9608055 5.460675
[1936,] 5.045595 5.135478 5.296324 4.9610403 5.460390
[1937,] 5.045742 5.135531 5.296209 4.9612748 5.460105
[1938,] 5.045888 5.135583 5.296095 4.9615091 5.459820
[1939,] 5.046034 5.135636 5.295980 4.9617431 5.459536
[1940,] 5.046179 5.135688 5.295866 4.9619769 5.459252
[1941,] 5.046325 5.135740 5.295751 4.9622105 5.458968
[1942,] 5.046470 5.135793 5.295637 4.9624438 5.458684
[1943,] 5.046616 5.135845 5.295523 4.9626769 5.458401
[1944,] 5.046761 5.135897 5.295409 4.9629097 5.458118
[1945,] 5.046906 5.135949 5.295295 4.9631423 5.457835
[1946,] 5.047051 5.136001 5.295182 4.9633746 5.457553
[1947,] 5.047196 5.136053 5.295068 4.9636067 5.457271
[1948,] 5.047340 5.136105 5.294955 4.9638386 5.456989
[1949,] 5.047484 5.136157 5.294841 4.9640702 5.456708
[1950,] 5.047629 5.136209 5.294728 4.9643016 5.456427
[1951,] 5.047773 5.136260 5.294615 4.9645327 5.456146
[1952,] 5.047917 5.136312 5.294502 4.9647636 5.455865
[1953,] 5.048061 5.136364 5.294389 4.9649943 5.455585
[1954,] 5.048204 5.136415 5.294276 4.9652247 5.455305
[1955,] 5.048348 5.136467 5.294163 4.9654548 5.455025
[1956,] 5.048491 5.136518 5.294051 4.9656847 5.454745
[1957,] 5.048634 5.136570 5.293938 4.9659144 5.454466
[1958,] 5.048777 5.136621 5.293826 4.9661439 5.454187
[1959,] 5.048920 5.136673 5.293714 4.9663731 5.453909
[1960,] 5.049063 5.136724 5.293602 4.9666020 5.453631
[1961,] 5.049206 5.136775 5.293490 4.9668308 5.453353
[1962,] 5.049348 5.136826 5.293378 4.9670593 5.453075
[1963,] 5.049490 5.136877 5.293266 4.9672875 5.452797
[1964,] 5.049633 5.136928 5.293155 4.9675155 5.452520
[1965,] 5.049775 5.136979 5.293043 4.9677433 5.452243
[1966,] 5.049917 5.137030 5.292932 4.9679708 5.451967
[1967,] 5.050058 5.137081 5.292820 4.9681981 5.451691
[1968,] 5.050200 5.137132 5.292709 4.9684252 5.451415
[1969,] 5.050341 5.137183 5.292598 4.9686520 5.451139
[1970,] 5.050483 5.137234 5.292487 4.9688786 5.450863
[1971,] 5.050624 5.137284 5.292376 4.9691049 5.450588
[1972,] 5.050765 5.137335 5.292266 4.9693310 5.450313
[1973,] 5.050905 5.137386 5.292155 4.9695569 5.450039
[1974,] 5.051046 5.137436 5.292045 4.9697825 5.449765
[1975,] 5.051187 5.137487 5.291934 4.9700079 5.449491
[1976,] 5.051327 5.137537 5.291824 4.9702331 5.449217
[1977,] 5.051467 5.137587 5.291714 4.9704580 5.448943
[1978,] 5.051607 5.137638 5.291604 4.9706827 5.448670
[1979,] 5.051747 5.137688 5.291494 4.9709072 5.448397
[1980,] 5.051887 5.137738 5.291384 4.9711314 5.448125
[1981,] 5.052027 5.137788 5.291275 4.9713554 5.447853
[1982,] 5.052166 5.137839 5.291165 4.9715792 5.447581
[1983,] 5.052306 5.137889 5.291056 4.9718027 5.447309
[1984,] 5.052445 5.137939 5.290946 4.9720260 5.447037
[1985,] 5.052584 5.137989 5.290837 4.9722490 5.446766
[1986,] 5.052723 5.138038 5.290728 4.9724719 5.446495
[1987,] 5.052862 5.138088 5.290619 4.9726945 5.446225
[1988,] 5.053001 5.138138 5.290510 4.9729168 5.445954
[1989,] 5.053139 5.138188 5.290401 4.9731389 5.445684
[1990,] 5.053277 5.138238 5.290293 4.9733608 5.445415
[1991,] 5.053416 5.138287 5.290184 4.9735825 5.445145
[1992,] 5.053554 5.138337 5.290076 4.9738039 5.444876
[1993,] 5.053692 5.138386 5.289967 4.9740251 5.444607
[1994,] 5.053829 5.138436 5.289859 4.9742461 5.444338
[1995,] 5.053967 5.138485 5.289751 4.9744668 5.444070
[1996,] 5.054105 5.138535 5.289643 4.9746873 5.443802
[1997,] 5.054242 5.138584 5.289535 4.9749076 5.443534
[1998,] 5.054379 5.138633 5.289428 4.9751277 5.443266
[1999,] 5.054516 5.138682 5.289320 4.9753475 5.442999
[2000,] 5.054653 5.138732 5.289212 4.9755671 5.442732
[2001,] 5.054790 5.138781 5.289105 4.9757864 5.442465

$y
             [,1]      [,2]      [,3]      [,4]      [,5]
   [1,] 1.0000000 2.0000000 1.0000000 3.0000000 0.5000000
   [2,] 0.9950349 1.9880606 0.9990056 2.9721507 0.5043902
   [3,] 0.9901390 1.9762416 0.9980222 2.9446009 0.5087375
   [4,] 0.9853115 1.9645419 0.9970499 2.9173475 0.5130424
   [5,] 0.9805518 1.9529603 0.9960884 2.8903878 0.5173053
   [6,] 0.9758590 1.9414957 0.9951377 2.8637189 0.5215265
   [7,] 0.9712325 1.9301468 0.9941976 2.8373378 0.5257065
   [8,] 0.9666714 1.9189127 0.9932680 2.8112418 0.5298457
   [9,] 0.9621751 1.9077922 0.9923489 2.7854281 0.5339446
  [10,] 0.9577429 1.8967842 0.9914401 2.7598939 0.5380034
  [11,] 0.9533739 1.8858875 0.9905415 2.7346366 0.5420226
  [12,] 0.9490676 1.8751012 0.9896531 2.7096533 0.5460025
  [13,] 0.9448232 1.8644242 0.9887747 2.6849414 0.5499436
  [14,] 0.9406400 1.8538553 0.9879061 2.6604982 0.5538463
  [15,] 0.9365173 1.8433936 0.9870474 2.6363211 0.5577108
  [16,] 0.9324546 1.8330380 0.9861985 2.6124074 0.5615376
  [17,] 0.9284510 1.8227874 0.9853591 2.5887547 0.5653271
  [18,] 0.9245059 1.8126409 0.9845292 2.5653603 0.5690796
  [19,] 0.9206187 1.8025975 0.9837088 2.5422217 0.5727955
  [20,] 0.9167886 1.7926561 0.9828977 2.5193364 0.5764751
  [21,] 0.9130152 1.7828157 0.9820959 2.4967018 0.5801189
  [22,] 0.9092977 1.7730755 0.9813031 2.4743156 0.5837270
  [23,] 0.9056355 1.7634343 0.9805195 2.4521753 0.5873000
  [24,] 0.9020279 1.7538912 0.9797448 2.4302784 0.5908381
  [25,] 0.8984744 1.7444454 0.9789789 2.4086225 0.5943416
  [26,] 0.8949743 1.7350957 0.9782218 2.3872054 0.5978110
  [27,] 0.8915270 1.7258414 0.9774734 2.3660246 0.6012466
  [28,] 0.8881319 1.7166815 0.9767336 2.3450777 0.6046486
  [29,] 0.8847885 1.7076150 0.9760024 2.3243626 0.6080175
  [30,] 0.8814961 1.6986410 0.9752795 2.3038769 0.6113534
  [31,] 0.8782541 1.6897587 0.9745650 2.2836183 0.6146569
  [32,] 0.8750620 1.6809672 0.9738587 2.2635846 0.6179281
  [33,] 0.8719192 1.6722655 0.9731606 2.2437736 0.6211674
  [34,] 0.8688251 1.6636528 0.9724706 2.2241830 0.6243752
  [35,] 0.8657792 1.6551282 0.9717886 2.2048107 0.6275516
  [36,] 0.8627808 1.6466909 0.9711145 2.1856546 0.6306971
  [37,] 0.8598296 1.6383400 0.9704482 2.1667124 0.6338118
  [38,] 0.8569248 1.6300747 0.9697898 2.1479821 0.6368963
  [39,] 0.8540660 1.6218942 0.9691390 2.1294615 0.6399506
  [40,] 0.8512527 1.6137975 0.9684958 2.1111487 0.6429752
  [41,] 0.8484842 1.6057840 0.9678601 2.0930414 0.6459702
  [42,] 0.8457602 1.5978527 0.9672319 2.0751377 0.6489361
  [43,] 0.8430800 1.5900029 0.9666110 2.0574356 0.6518731
  [44,] 0.8404432 1.5822338 0.9659975 2.0399330 0.6547814
  [45,] 0.8378492 1.5745446 0.9653911 2.0226280 0.6576614
  [46,] 0.8352975 1.5669345 0.9647920 2.0055186 0.6605133
  [47,] 0.8327877 1.5594028 0.9641999 1.9886028 0.6633374
  [48,] 0.8303193 1.5519486 0.9636148 1.9718787 0.6661340
  [49,] 0.8278917 1.5445712 0.9630366 1.9553444 0.6689033
  [50,] 0.8255045 1.5372700 0.9624653 1.9389980 0.6716456
  [51,] 0.8231573 1.5300440 0.9619008 1.9228377 0.6743612
  [52,] 0.8208494 1.5228927 0.9613430 1.9068615 0.6770504
  [53,] 0.8185805 1.5158151 0.9607919 1.8910677 0.6797133
  [54,] 0.8163502 1.5088108 0.9602473 1.8754543 0.6823503
  [55,] 0.8141578 1.5018788 0.9597093 1.8600197 0.6849616
  [56,] 0.8120031 1.4950186 0.9591777 1.8447619 0.6875475
  [57,] 0.8098855 1.4882294 0.9586525 1.8296793 0.6901082
  [58,] 0.8078047 1.4815104 0.9581336 1.8147700 0.6926439
  [59,] 0.8057600 1.4748611 0.9576210 1.8000324 0.6951550
  [60,] 0.8037513 1.4682808 0.9571146 1.7854646 0.6976416
  [61,] 0.8017779 1.4617687 0.9566142 1.7710651 0.7001039
  [62,] 0.7998394 1.4553242 0.9561200 1.7568320 0.7025423
  [63,] 0.7979356 1.4489466 0.9556318 1.7427638 0.7049569
  [64,] 0.7960658 1.4426353 0.9551494 1.7288587 0.7073481
  [65,] 0.7942298 1.4363897 0.9546730 1.7151151 0.7097159
  [66,] 0.7924271 1.4302090 0.9542024 1.7015314 0.7120607
  [67,] 0.7906573 1.4240927 0.9537375 1.6881060 0.7143826
  [68,] 0.7889200 1.4180400 0.9532784 1.6748373 0.7166820
  [69,] 0.7872149 1.4120505 0.9528249 1.6617236 0.7189590
  [70,] 0.7855414 1.4061234 0.9523769 1.6487634 0.7212138
  [71,] 0.7838993 1.4002582 0.9519345 1.6359552 0.7234467
  [72,] 0.7822881 1.3944542 0.9514976 1.6232973 0.7256578
  [73,] 0.7807075 1.3887108 0.9510660 1.6107884 0.7278474
  [74,] 0.7791571 1.3830275 0.9506398 1.5984268 0.7300157
  [75,] 0.7776365 1.3774036 0.9502190 1.5862111 0.7321629
  [76,] 0.7761454 1.3718386 0.9498033 1.5741398 0.7342892
  [77,] 0.7746834 1.3663319 0.9493929 1.5622114 0.7363949
  [78,] 0.7732501 1.3608829 0.9489875 1.5504244 0.7384800
  [79,] 0.7718452 1.3554911 0.9485873 1.5387774 0.7405449
  [80,] 0.7704683 1.3501558 0.9481921 1.5272691 0.7425896
  [81,] 0.7691190 1.3448766 0.9478019 1.5158978 0.7446145
  [82,] 0.7677971 1.3396528 0.9474166 1.5046624 0.7466197
  [83,] 0.7665022 1.3344839 0.9470361 1.4935612 0.7486054
  [84,] 0.7652340 1.3293694 0.9466605 1.4825931 0.7505718
  [85,] 0.7639921 1.3243088 0.9462897 1.4717566 0.7525191
  [86,] 0.7627761 1.3193015 0.9459236 1.4610504 0.7544474
  [87,] 0.7615859 1.3143470 0.9455622 1.4504731 0.7563570
  [88,] 0.7604209 1.3094447 0.9452054 1.4400234 0.7582480
  [89,] 0.7592810 1.3045942 0.9448532 1.4297000 0.7601207
  [90,] 0.7581658 1.2997949 0.9445055 1.4195016 0.7619751
  [91,] 0.7570749 1.2950463 0.9441623 1.4094268 0.7638116
  [92,] 0.7560082 1.2903480 0.9438235 1.3994745 0.7656301
  [93,] 0.7549652 1.2856994 0.9434891 1.3896433 0.7674310
  [94,] 0.7539457 1.2811000 0.9431591 1.3799321 0.7692145
  [95,] 0.7529494 1.2765494 0.9428334 1.3703395 0.7709805
  [96,] 0.7519759 1.2720470 0.9425119 1.3608643 0.7727295
  [97,] 0.7510251 1.2675925 0.9421946 1.3515053 0.7744614
  [98,] 0.7500965 1.2631852 0.9418815 1.3422613 0.7761765
  [99,] 0.7491899 1.2588248 0.9415725 1.3331311 0.7778750
 [100,] 0.7483050 1.2545108 0.9412676 1.3241135 0.7795570
 [101,] 0.7474416 1.2502427 0.9409668 1.3152073 0.7812226
 [102,] 0.7465994 1.2460201 0.9406699 1.3064114 0.7828721
 [103,] 0.7457780 1.2418425 0.9403770 1.2977247 0.7845055
 [104,] 0.7449773 1.2377094 0.9400880 1.2891459 0.7861231
 [105,] 0.7441969 1.2336205 0.9398029 1.2806740 0.7877250
 [106,] 0.7434365 1.2295753 0.9395216 1.2723078 0.7893113
 [107,] 0.7426960 1.2255733 0.9392440 1.2640463 0.7908823
 [108,] 0.7419751 1.2216142 0.9389703 1.2558882 0.7924380
 [109,] 0.7412735 1.2176974 0.9387002 1.2478326 0.7939786
 [110,] 0.7405909 1.2138226 0.9384339 1.2398784 0.7955043
 [111,] 0.7399271 1.2099894 0.9381711 1.2320244 0.7970152
 [112,] 0.7392818 1.2061973 0.9379120 1.2242697 0.7985114
 [113,] 0.7386549 1.2024460 0.9376564 1.2166131 0.7999931
 [114,] 0.7380460 1.1987349 0.9374043 1.2090537 0.8014604
 [115,] 0.7374550 1.1950639 0.9371557 1.2015905 0.8029135
 [116,] 0.7368815 1.1914323 0.9369105 1.1942223 0.8043525
 [117,] 0.7363254 1.1878399 0.9366688 1.1869482 0.8057776
 [118,] 0.7357863 1.1842862 0.9364304 1.1797672 0.8071888
 [119,] 0.7352642 1.1807708 0.9361954 1.1726783 0.8085864
 [120,] 0.7347587 1.1772935 0.9359637 1.1656805 0.8099704
 [121,] 0.7342697 1.1738537 0.9357352 1.1587729 0.8113411
 [122,] 0.7337969 1.1704512 0.9355100 1.1519544 0.8126984
 [123,] 0.7333400 1.1670855 0.9352880 1.1452242 0.8140426
 [124,] 0.7328989 1.1637563 0.9350691 1.1385813 0.8153737
 [125,] 0.7324734 1.1604632 0.9348534 1.1320248 0.8166920
 [126,] 0.7320633 1.1572059 0.9346407 1.1255537 0.8179975
 [127,] 0.7316682 1.1539839 0.9344312 1.1191671 0.8192904
 [128,] 0.7312881 1.1507970 0.9342246 1.1128641 0.8205707
 [129,] 0.7309227 1.1476448 0.9340211 1.1066438 0.8218387
 [130,] 0.7305719 1.1445269 0.9338205 1.1005053 0.8230944
 [131,] 0.7302353 1.1414431 0.9336229 1.0944478 0.8243379
 [132,] 0.7299129 1.1383929 0.9334281 1.0884703 0.8255694
 [133,] 0.7296044 1.1353760 0.9332363 1.0825721 0.8267889
 [134,] 0.7293096 1.1323921 0.9330473 1.0767522 0.8279967
 [135,] 0.7290284 1.1294408 0.9328611 1.0710097 0.8291928
 [136,] 0.7287605 1.1265219 0.9326777 1.0653440 0.8303773
 [137,] 0.7285057 1.1236350 0.9324970 1.0597540 0.8315504
 [138,] 0.7282640 1.1207798 0.9323191 1.0542391 0.8327121
 [139,] 0.7280350 1.1179559 0.9321438 1.0487983 0.8338626
 [140,] 0.7278187 1.1151631 0.9319712 1.0434309 0.8350019
 [141,] 0.7276147 1.1124010 0.9318013 1.0381361 0.8361303
 [142,] 0.7274231 1.1096693 0.9316340 1.0329131 0.8372477
 [143,] 0.7272435 1.1069678 0.9314692 1.0277611 0.8383543
 [144,] 0.7270758 1.1042961 0.9313070 1.0226792 0.8394503
 [145,] 0.7269199 1.1016539 0.9311473 1.0176669 0.8405357
 [146,] 0.7267755 1.0990409 0.9309902 1.0127232 0.8416105
 [147,] 0.7266425 1.0964569 0.9308355 1.0078474 0.8426750
 [148,] 0.7265208 1.0939014 0.9306832 1.0030389 0.8437292
 [149,] 0.7264101 1.0913744 0.9305334 0.9982967 0.8447733
 [150,] 0.7263103 1.0888754 0.9303859 0.9936203 0.8458072
 [151,] 0.7262213 1.0864041 0.9302408 0.9890089 0.8468312
 [152,] 0.7261429 1.0839604 0.9300981 0.9844617 0.8478453
 [153,] 0.7260749 1.0815439 0.9299577 0.9799781 0.8488496
 [154,] 0.7260172 1.0791543 0.9298196 0.9755574 0.8498442
 [155,] 0.7259697 1.0767914 0.9296837 0.9711988 0.8508292
 [156,] 0.7259321 1.0744549 0.9295501 0.9669016 0.8518047
 [157,] 0.7259043 1.0721445 0.9294187 0.9626653 0.8527708
 [158,] 0.7258862 1.0698600 0.9292895 0.9584890 0.8537276
 [159,] 0.7258777 1.0676011 0.9291624 0.9543722 0.8546752
 [160,] 0.7258786 1.0653675 0.9290375 0.9503141 0.8556136
 [161,] 0.7258887 1.0631591 0.9289147 0.9463142 0.8565430
 [162,] 0.7259080 1.0609755 0.9287941 0.9423717 0.8574634
 [163,] 0.7259362 1.0588164 0.9286755 0.9384860 0.8583750
 [164,] 0.7259732 1.0566817 0.9285589 0.9346565 0.8592777
 [165,] 0.7260190 1.0545711 0.9284444 0.9308825 0.8601718
 [166,] 0.7260734 1.0524844 0.9283319 0.9271634 0.8610573
 [167,] 0.7261361 1.0504212 0.9282214 0.9234987 0.8619342
 [168,] 0.7262072 1.0483814 0.9281128 0.9198876 0.8628027
 [169,] 0.7262865 1.0463647 0.9280062 0.9163296 0.8636629
 [170,] 0.7263738 1.0443710 0.9279016 0.9128241 0.8645147
 [171,] 0.7264690 1.0423998 0.9277988 0.9093704 0.8653584
 [172,] 0.7265721 1.0404511 0.9276979 0.9059681 0.8661939
 [173,] 0.7266828 1.0385246 0.9275988 0.9026164 0.8670214
 [174,] 0.7268011 1.0366201 0.9275016 0.8993149 0.8678410
 [175,] 0.7269268 1.0347373 0.9274063 0.8960630 0.8686527
 [176,] 0.7270599 1.0328761 0.9273127 0.8928600 0.8694565
 [177,] 0.7272001 1.0310361 0.9272209 0.8897055 0.8702527
 [178,] 0.7273475 1.0292173 0.9271308 0.8865989 0.8710411
 [179,] 0.7275018 1.0274193 0.9270425 0.8835396 0.8718221
 [180,] 0.7276630 1.0256420 0.9269559 0.8805270 0.8725955
 [181,] 0.7278309 1.0238851 0.9268711 0.8775608 0.8733614
 [182,] 0.7280055 1.0221485 0.9267879 0.8746402 0.8741201
 [183,] 0.7281866 1.0204319 0.9267063 0.8717648 0.8748714
 [184,] 0.7283741 1.0187351 0.9266265 0.8689341 0.8756155
 [185,] 0.7285679 1.0170580 0.9265482 0.8661476 0.8763525
 [186,] 0.7287680 1.0154002 0.9264716 0.8634047 0.8770824
 [187,] 0.7289741 1.0137618 0.9263965 0.8607049 0.8778053
 [188,] 0.7291863 1.0121423 0.9263230 0.8580478 0.8785213
 [189,] 0.7294044 1.0105417 0.9262511 0.8554328 0.8792304
 [190,] 0.7296282 1.0089597 0.9261807 0.8528594 0.8799327
 [191,] 0.7298578 1.0073962 0.9261119 0.8503272 0.8806283
 [192,] 0.7300930 1.0058509 0.9260445 0.8478357 0.8813172
 [193,] 0.7303337 1.0043237 0.9259786 0.8453844 0.8819995
 [194,] 0.7305798 1.0028144 0.9259142 0.8429728 0.8826753
 [195,] 0.7308313 1.0013228 0.9258513 0.8406005 0.8833446
 [196,] 0.7310880 0.9998487 0.9257898 0.8382670 0.8840075
 [197,] 0.7313498 0.9983920 0.9257297 0.8359719 0.8846640
 [198,] 0.7316167 0.9969524 0.9256711 0.8337146 0.8853143
 [199,] 0.7318885 0.9955298 0.9256138 0.8314948 0.8859583
 [200,] 0.7321652 0.9941240 0.9255579 0.8293120 0.8865962
 [201,] 0.7324467 0.9927349 0.9255033 0.8271658 0.8872280
 [202,] 0.7327329 0.9913622 0.9254501 0.8250557 0.8878537
 [203,] 0.7330237 0.9900058 0.9253983 0.8229814 0.8884735
 [204,] 0.7333191 0.9886656 0.9253477 0.8209423 0.8890873
 [205,] 0.7336189 0.9873413 0.9252984 0.8189381 0.8896952
 [206,] 0.7339230 0.9860328 0.9252505 0.8169683 0.8902974
 [207,] 0.7342315 0.9847399 0.9252038 0.8150325 0.8908938
 [208,] 0.7345441 0.9834626 0.9251583 0.8131304 0.8914845
 [209,] 0.7348609 0.9822005 0.9251141 0.8112615 0.8920695
 [210,] 0.7351817 0.9809536 0.9250711 0.8094255 0.8926490
 [211,] 0.7355066 0.9797217 0.9250294 0.8076219 0.8932230
 [212,] 0.7358353 0.9785046 0.9249888 0.8058503 0.8937914
 [213,] 0.7361678 0.9773022 0.9249494 0.8041104 0.8943545
 [214,] 0.7365041 0.9761143 0.9249112 0.8024017 0.8949122
 [215,] 0.7368441 0.9749409 0.9248742 0.8007240 0.8954645
 [216,] 0.7371876 0.9737817 0.9248383 0.7990767 0.8960116
 [217,] 0.7375347 0.9726365 0.9248035 0.7974597 0.8965535
 [218,] 0.7378853 0.9715053 0.9247699 0.7958724 0.8970902
 [219,] 0.7382393 0.9703879 0.9247373 0.7943145 0.8976218
 [220,] 0.7385966 0.9692842 0.9247059 0.7927857 0.8981484
 [221,] 0.7389572 0.9681939 0.9246755 0.7912856 0.8986699
 [222,] 0.7393209 0.9671171 0.9246462 0.7898139 0.8991865
 [223,] 0.7396878 0.9660534 0.9246179 0.7883702 0.8996982
 [224,] 0.7400578 0.9650029 0.9245908 0.7869542 0.9002050
 [225,] 0.7404307 0.9639653 0.9245646 0.7855654 0.9007069
 [226,] 0.7408066 0.9629405 0.9245394 0.7842037 0.9012041
 [227,] 0.7411854 0.9619285 0.9245153 0.7828687 0.9016966
 [228,] 0.7415670 0.9609290 0.9244922 0.7815599 0.9021844
 [229,] 0.7419514 0.9599419 0.9244700 0.7802772 0.9026676
 [230,] 0.7423384 0.9589671 0.9244488 0.7790202 0.9031462
 [231,] 0.7427281 0.9580045 0.9244286 0.7777885 0.9036202
 [232,] 0.7431203 0.9570539 0.9244093 0.7765819 0.9040898
 [233,] 0.7435151 0.9561152 0.9243910 0.7754000 0.9045548
 [234,] 0.7439124 0.9551883 0.9243736 0.7742426 0.9050155
 [235,] 0.7443120 0.9542731 0.9243572 0.7731092 0.9054718
 [236,] 0.7447140 0.9533695 0.9243416 0.7719997 0.9059238
 [237,] 0.7451184 0.9524772 0.9243269 0.7709138 0.9063715
 [238,] 0.7455249 0.9515963 0.9243131 0.7698510 0.9068150
 [239,] 0.7459337 0.9507265 0.9243002 0.7688112 0.9072543
 [240,] 0.7463446 0.9498678 0.9242882 0.7677941 0.9076894
 [241,] 0.7467576 0.9490201 0.9242770 0.7667993 0.9081204
 [242,] 0.7471726 0.9481832 0.9242667 0.7658266 0.9085473
 [243,] 0.7475897 0.9473571 0.9242572 0.7648757 0.9089702
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 [998,] 0.9571534 0.9616379 0.9678556 0.9522619 0.9727159
 [999,] 0.9571679 0.9616444 0.9678546 0.9522853 0.9727106
[1000,] 0.9571822 0.9616509 0.9678536 0.9523086 0.9727053
[1001,] 0.9571965 0.9616573 0.9678526 0.9523318 0.9726999
[1002,] 0.9572107 0.9616637 0.9678515 0.9523549 0.9726946
[1003,] 0.9572249 0.9616700 0.9678504 0.9523779 0.9726892
[1004,] 0.9572389 0.9616763 0.9678493 0.9524008 0.9726838
[1005,] 0.9572529 0.9616826 0.9678481 0.9524235 0.9726784
[1006,] 0.9572668 0.9616888 0.9678469 0.9524462 0.9726730
[1007,] 0.9572807 0.9616949 0.9678458 0.9524687 0.9726676
[1008,] 0.9572944 0.9617011 0.9678445 0.9524911 0.9726621
[1009,] 0.9573081 0.9617071 0.9678433 0.9525135 0.9726567
[1010,] 0.9573217 0.9617132 0.9678421 0.9525357 0.9726512
[1011,] 0.9573352 0.9617192 0.9678408 0.9525578 0.9726457
[1012,] 0.9573487 0.9617251 0.9678395 0.9525798 0.9726402
[1013,] 0.9573621 0.9617311 0.9678382 0.9526017 0.9726347
[1014,] 0.9573754 0.9617369 0.9678368 0.9526235 0.9726292
[1015,] 0.9573887 0.9617428 0.9678355 0.9526452 0.9726237
[1016,] 0.9574019 0.9617486 0.9678341 0.9526668 0.9726181
[1017,] 0.9574150 0.9617544 0.9678327 0.9526883 0.9726126
[1018,] 0.9574281 0.9617601 0.9678313 0.9527097 0.9726070
[1019,] 0.9574411 0.9617658 0.9678298 0.9527310 0.9726014
[1020,] 0.9574540 0.9617714 0.9678284 0.9527523 0.9725958
[1021,] 0.9574668 0.9617771 0.9678269 0.9527734 0.9725902
[1022,] 0.9574796 0.9617827 0.9678254 0.9527944 0.9725846
[1023,] 0.9574924 0.9617882 0.9678239 0.9528153 0.9725790
[1024,] 0.9575050 0.9617937 0.9678223 0.9528362 0.9725733
[1025,] 0.9575176 0.9617992 0.9678208 0.9528569 0.9725677
[1026,] 0.9575302 0.9618046 0.9678192 0.9528776 0.9725620
[1027,] 0.9575426 0.9618100 0.9678176 0.9528981 0.9725564
[1028,] 0.9575550 0.9618154 0.9678160 0.9529186 0.9725507
[1029,] 0.9575674 0.9618208 0.9678144 0.9529390 0.9725450
[1030,] 0.9575797 0.9618261 0.9678128 0.9529593 0.9725393
[1031,] 0.9575919 0.9618313 0.9678111 0.9529795 0.9725336
[1032,] 0.9576041 0.9618366 0.9678094 0.9529996 0.9725278
[1033,] 0.9576162 0.9618418 0.9678077 0.9530196 0.9725221
[1034,] 0.9576282 0.9618470 0.9678060 0.9530395 0.9725164
[1035,] 0.9576402 0.9618521 0.9678043 0.9530594 0.9725106
[1036,] 0.9576522 0.9618572 0.9678026 0.9530792 0.9725048
[1037,] 0.9576640 0.9618623 0.9678008 0.9530988 0.9724991
[1038,] 0.9576759 0.9618673 0.9677990 0.9531184 0.9724933
[1039,] 0.9576876 0.9618724 0.9677972 0.9531380 0.9724875
[1040,] 0.9576993 0.9618773 0.9677954 0.9531574 0.9724817
[1041,] 0.9577110 0.9618823 0.9677936 0.9531768 0.9724759
[1042,] 0.9577226 0.9618872 0.9677918 0.9531960 0.9724701
[1043,] 0.9577341 0.9618921 0.9677899 0.9532152 0.9724642
[1044,] 0.9577456 0.9618970 0.9677881 0.9532343 0.9724584
[1045,] 0.9577571 0.9619018 0.9677862 0.9532534 0.9724526
[1046,] 0.9577684 0.9619066 0.9677843 0.9532723 0.9724467
[1047,] 0.9577798 0.9619114 0.9677824 0.9532912 0.9724409
[1048,] 0.9577910 0.9619162 0.9677805 0.9533100 0.9724350
[1049,] 0.9578023 0.9619209 0.9677786 0.9533287 0.9724291
[1050,] 0.9578134 0.9619256 0.9677766 0.9533474 0.9724232
[1051,] 0.9578246 0.9619303 0.9677747 0.9533660 0.9724173
[1052,] 0.9578356 0.9619349 0.9677727 0.9533845 0.9724115
[1053,] 0.9578467 0.9619395 0.9677707 0.9534029 0.9724056
[1054,] 0.9578576 0.9619441 0.9677687 0.9534212 0.9723996
[1055,] 0.9578686 0.9619487 0.9677667 0.9534395 0.9723937
[1056,] 0.9578794 0.9619532 0.9677647 0.9534577 0.9723878
[1057,] 0.9578903 0.9619577 0.9677626 0.9534758 0.9723819
[1058,] 0.9579011 0.9619622 0.9677606 0.9534939 0.9723759
[1059,] 0.9579118 0.9619666 0.9677585 0.9535119 0.9723700
[1060,] 0.9579225 0.9619711 0.9677564 0.9535298 0.9723640
[1061,] 0.9579331 0.9619755 0.9677544 0.9535477 0.9723581
[1062,] 0.9579437 0.9619798 0.9677523 0.9535654 0.9723521
[1063,] 0.9579542 0.9619842 0.9677501 0.9535832 0.9723461
[1064,] 0.9579647 0.9619885 0.9677480 0.9536008 0.9723402
[1065,] 0.9579752 0.9619928 0.9677459 0.9536184 0.9723342
[1066,] 0.9579856 0.9619971 0.9677438 0.9536359 0.9723282
[1067,] 0.9579960 0.9620014 0.9677416 0.9536533 0.9723222
[1068,] 0.9580063 0.9620056 0.9677394 0.9536707 0.9723162
[1069,] 0.9580166 0.9620098 0.9677373 0.9536880 0.9723102
[1070,] 0.9580268 0.9620140 0.9677351 0.9537053 0.9723042
[1071,] 0.9580370 0.9620182 0.9677329 0.9537224 0.9722982
[1072,] 0.9580472 0.9620223 0.9677307 0.9537396 0.9722922
[1073,] 0.9580573 0.9620264 0.9677285 0.9537566 0.9722861
[1074,] 0.9580673 0.9620305 0.9677262 0.9537736 0.9722801
[1075,] 0.9580773 0.9620346 0.9677240 0.9537905 0.9722741
[1076,] 0.9580873 0.9620387 0.9677217 0.9538074 0.9722680
[1077,] 0.9580973 0.9620427 0.9677195 0.9538242 0.9722620
[1078,] 0.9581072 0.9620467 0.9677172 0.9538410 0.9722559
[1079,] 0.9581170 0.9620507 0.9677149 0.9538576 0.9722499
[1080,] 0.9581268 0.9620547 0.9677127 0.9538743 0.9722438
[1081,] 0.9581366 0.9620586 0.9677104 0.9538908 0.9722377
[1082,] 0.9581464 0.9620625 0.9677081 0.9539073 0.9722317
[1083,] 0.9581561 0.9620664 0.9677057 0.9539238 0.9722256
[1084,] 0.9581657 0.9620703 0.9677034 0.9539402 0.9722195
[1085,] 0.9581753 0.9620742 0.9677011 0.9539565 0.9722134
[1086,] 0.9581849 0.9620780 0.9676988 0.9539727 0.9722074
[1087,] 0.9581945 0.9620818 0.9676964 0.9539890 0.9722013
[1088,] 0.9582040 0.9620856 0.9676941 0.9540051 0.9721952
[1089,] 0.9582135 0.9620894 0.9676917 0.9540212 0.9721891
[1090,] 0.9582229 0.9620932 0.9676893 0.9540373 0.9721830
[1091,] 0.9582323 0.9620969 0.9676869 0.9540532 0.9721769
[1092,] 0.9582417 0.9621007 0.9676845 0.9540692 0.9721708
[1093,] 0.9582510 0.9621044 0.9676821 0.9540850 0.9721647
[1094,] 0.9582603 0.9621080 0.9676797 0.9541009 0.9721586
[1095,] 0.9582695 0.9621117 0.9676773 0.9541166 0.9721524
[1096,] 0.9582788 0.9621154 0.9676749 0.9541324 0.9721463
[1097,] 0.9582879 0.9621190 0.9676725 0.9541480 0.9721402
[1098,] 0.9582971 0.9621226 0.9676701 0.9541636 0.9721341
[1099,] 0.9583062 0.9621262 0.9676676 0.9541792 0.9721279
[1100,] 0.9583153 0.9621298 0.9676652 0.9541947 0.9721218
[1101,] 0.9583243 0.9621333 0.9676627 0.9542101 0.9721157
[1102,] 0.9583334 0.9621369 0.9676602 0.9542255 0.9721095
[1103,] 0.9583423 0.9621404 0.9676578 0.9542409 0.9721034
[1104,] 0.9583513 0.9621439 0.9676553 0.9542562 0.9720972
[1105,] 0.9583602 0.9621474 0.9676528 0.9542714 0.9720911
[1106,] 0.9583691 0.9621509 0.9676503 0.9542866 0.9720850
[1107,] 0.9583779 0.9621543 0.9676478 0.9543018 0.9720788
[1108,] 0.9583868 0.9621578 0.9676453 0.9543169 0.9720727
[1109,] 0.9583955 0.9621612 0.9676428 0.9543319 0.9720665
[1110,] 0.9584043 0.9621646 0.9676403 0.9543469 0.9720603
[1111,] 0.9584130 0.9621680 0.9676378 0.9543619 0.9720542
[1112,] 0.9584217 0.9621714 0.9676353 0.9543768 0.9720480
[1113,] 0.9584304 0.9621747 0.9676327 0.9543916 0.9720419
[1114,] 0.9584390 0.9621781 0.9676302 0.9544065 0.9720357
[1115,] 0.9584476 0.9621814 0.9676276 0.9544212 0.9720295
[1116,] 0.9584562 0.9621847 0.9676251 0.9544359 0.9720234
[1117,] 0.9584647 0.9621880 0.9676225 0.9544506 0.9720172
[1118,] 0.9584732 0.9621913 0.9676200 0.9544652 0.9720110
[1119,] 0.9584817 0.9621946 0.9676174 0.9544798 0.9720048
[1120,] 0.9584902 0.9621978 0.9676148 0.9544943 0.9719987
[1121,] 0.9584986 0.9622011 0.9676123 0.9545088 0.9719925
[1122,] 0.9585070 0.9622043 0.9676097 0.9545233 0.9719863
[1123,] 0.9585154 0.9622075 0.9676071 0.9545377 0.9719801
[1124,] 0.9585237 0.9622107 0.9676045 0.9545520 0.9719740
[1125,] 0.9585320 0.9622139 0.9676019 0.9545664 0.9719678
[1126,] 0.9585403 0.9622170 0.9675993 0.9545806 0.9719616
[1127,] 0.9585485 0.9622202 0.9675967 0.9545948 0.9719554
[1128,] 0.9585568 0.9622233 0.9675941 0.9546090 0.9719492
[1129,] 0.9585650 0.9622265 0.9675915 0.9546232 0.9719430
[1130,] 0.9585731 0.9622296 0.9675888 0.9546373 0.9719368
[1131,] 0.9585813 0.9622327 0.9675862 0.9546513 0.9719307
[1132,] 0.9585894 0.9622357 0.9675836 0.9546653 0.9719245
[1133,] 0.9585975 0.9622388 0.9675809 0.9546793 0.9719183
[1134,] 0.9586056 0.9622419 0.9675783 0.9546932 0.9719121
[1135,] 0.9586136 0.9622449 0.9675757 0.9547071 0.9719059
[1136,] 0.9586216 0.9622479 0.9675730 0.9547210 0.9718997
[1137,] 0.9586296 0.9622510 0.9675704 0.9547348 0.9718935
[1138,] 0.9586376 0.9622540 0.9675677 0.9547486 0.9718873
[1139,] 0.9586455 0.9622570 0.9675650 0.9547623 0.9718811
[1140,] 0.9586534 0.9622599 0.9675624 0.9547760 0.9718749
[1141,] 0.9586613 0.9622629 0.9675597 0.9547896 0.9718687
[1142,] 0.9586692 0.9622659 0.9675570 0.9548032 0.9718625
[1143,] 0.9586770 0.9622688 0.9675544 0.9548168 0.9718563
[1144,] 0.9586848 0.9622717 0.9675517 0.9548303 0.9718501
[1145,] 0.9586926 0.9622746 0.9675490 0.9548438 0.9718439
[1146,] 0.9587004 0.9622775 0.9675463 0.9548573 0.9718378
[1147,] 0.9587081 0.9622804 0.9675436 0.9548707 0.9718316
[1148,] 0.9587158 0.9622833 0.9675409 0.9548841 0.9718254
[1149,] 0.9587235 0.9622862 0.9675382 0.9548974 0.9718192
[1150,] 0.9587312 0.9622890 0.9675355 0.9549108 0.9718130
[1151,] 0.9587388 0.9622919 0.9675328 0.9549240 0.9718068
[1152,] 0.9587464 0.9622947 0.9675301 0.9549373 0.9718006
[1153,] 0.9587540 0.9622976 0.9675274 0.9549505 0.9717944
[1154,] 0.9587616 0.9623004 0.9675247 0.9549636 0.9717882
[1155,] 0.9587692 0.9623032 0.9675220 0.9549767 0.9717820
[1156,] 0.9587767 0.9623060 0.9675193 0.9549898 0.9717758
[1157,] 0.9587842 0.9623087 0.9675166 0.9550029 0.9717696
[1158,] 0.9587917 0.9623115 0.9675138 0.9550159 0.9717634
[1159,] 0.9587992 0.9623143 0.9675111 0.9550289 0.9717572
[1160,] 0.9588066 0.9623170 0.9675084 0.9550418 0.9717510
[1161,] 0.9588140 0.9623198 0.9675056 0.9550548 0.9717448
[1162,] 0.9588214 0.9623225 0.9675029 0.9550676 0.9717386
[1163,] 0.9588288 0.9623252 0.9675002 0.9550805 0.9717324
[1164,] 0.9588362 0.9623279 0.9674974 0.9550933 0.9717262
[1165,] 0.9588435 0.9623306 0.9674947 0.9551061 0.9717200
[1166,] 0.9588508 0.9623333 0.9674920 0.9551188 0.9717138
[1167,] 0.9588581 0.9623360 0.9674892 0.9551315 0.9717077
[1168,] 0.9588654 0.9623386 0.9674865 0.9551442 0.9717015
[1169,] 0.9588726 0.9623413 0.9674837 0.9551568 0.9716953
[1170,] 0.9588799 0.9623439 0.9674810 0.9551695 0.9716891
[1171,] 0.9588871 0.9623466 0.9674782 0.9551820 0.9716829
[1172,] 0.9588943 0.9623492 0.9674754 0.9551946 0.9716767
[1173,] 0.9589015 0.9623518 0.9674727 0.9552071 0.9716705
[1174,] 0.9589086 0.9623544 0.9674699 0.9552196 0.9716643
[1175,] 0.9589157 0.9623570 0.9674672 0.9552320 0.9716582
[1176,] 0.9589229 0.9623596 0.9674644 0.9552445 0.9716520
[1177,] 0.9589299 0.9623622 0.9674616 0.9552568 0.9716458
[1178,] 0.9589370 0.9623647 0.9674589 0.9552692 0.9716396
[1179,] 0.9589441 0.9623673 0.9674561 0.9552815 0.9716334
[1180,] 0.9589511 0.9623698 0.9674533 0.9552938 0.9716273
[1181,] 0.9589581 0.9623724 0.9674505 0.9553061 0.9716211
[1182,] 0.9589651 0.9623749 0.9674478 0.9553183 0.9716149
[1183,] 0.9589721 0.9623774 0.9674450 0.9553305 0.9716087
[1184,] 0.9589791 0.9623800 0.9674422 0.9553427 0.9716026
[1185,] 0.9589860 0.9623825 0.9674394 0.9553548 0.9715964
[1186,] 0.9589929 0.9623850 0.9674366 0.9553669 0.9715902
[1187,] 0.9589998 0.9623875 0.9674339 0.9553790 0.9715840
[1188,] 0.9590067 0.9623899 0.9674311 0.9553911 0.9715779
[1189,] 0.9590136 0.9623924 0.9674283 0.9554031 0.9715717
[1190,] 0.9590205 0.9623949 0.9674255 0.9554151 0.9715655
[1191,] 0.9590273 0.9623973 0.9674227 0.9554271 0.9715594
[1192,] 0.9590341 0.9623998 0.9674199 0.9554390 0.9715532
[1193,] 0.9590409 0.9624022 0.9674171 0.9554509 0.9715471
[1194,] 0.9590477 0.9624046 0.9674143 0.9554628 0.9715409
[1195,] 0.9590545 0.9624071 0.9674116 0.9554746 0.9715347
[1196,] 0.9590612 0.9624095 0.9674088 0.9554865 0.9715286
[1197,] 0.9590679 0.9624119 0.9674060 0.9554983 0.9715224
[1198,] 0.9590746 0.9624143 0.9674032 0.9555100 0.9715163
[1199,] 0.9590813 0.9624167 0.9674004 0.9555218 0.9715101
[1200,] 0.9590880 0.9624191 0.9673976 0.9555335 0.9715040
[1201,] 0.9590947 0.9624214 0.9673948 0.9555452 0.9714978
[1202,] 0.9591013 0.9624238 0.9673920 0.9555568 0.9714917
[1203,] 0.9591080 0.9624262 0.9673892 0.9555685 0.9714855
[1204,] 0.9591146 0.9624285 0.9673864 0.9555801 0.9714794
[1205,] 0.9591212 0.9624309 0.9673836 0.9555916 0.9714732
[1206,] 0.9591278 0.9624332 0.9673808 0.9556032 0.9714671
[1207,] 0.9591343 0.9624355 0.9673780 0.9556147 0.9714610
[1208,] 0.9591409 0.9624379 0.9673752 0.9556262 0.9714548
[1209,] 0.9591474 0.9624402 0.9673723 0.9556377 0.9714487
[1210,] 0.9591539 0.9624425 0.9673695 0.9556491 0.9714426
[1211,] 0.9591604 0.9624448 0.9673667 0.9556606 0.9714364
[1212,] 0.9591669 0.9624471 0.9673639 0.9556719 0.9714303
[1213,] 0.9591734 0.9624494 0.9673611 0.9556833 0.9714242
[1214,] 0.9591798 0.9624516 0.9673583 0.9556947 0.9714181
[1215,] 0.9591863 0.9624539 0.9673555 0.9557060 0.9714119
[1216,] 0.9591927 0.9624562 0.9673527 0.9557173 0.9714058
[1217,] 0.9591991 0.9624584 0.9673499 0.9557285 0.9713997
[1218,] 0.9592055 0.9624607 0.9673471 0.9557398 0.9713936
[1219,] 0.9592119 0.9624629 0.9673443 0.9557510 0.9713875
[1220,] 0.9592182 0.9624652 0.9673415 0.9557622 0.9713814
[1221,] 0.9592246 0.9624674 0.9673386 0.9557733 0.9713753
[1222,] 0.9592309 0.9624696 0.9673358 0.9557845 0.9713692
[1223,] 0.9592373 0.9624719 0.9673330 0.9557956 0.9713630
[1224,] 0.9592436 0.9624741 0.9673302 0.9558067 0.9713569
[1225,] 0.9592498 0.9624763 0.9673274 0.9558178 0.9713508
[1226,] 0.9592561 0.9624785 0.9673246 0.9558288 0.9713448
[1227,] 0.9592624 0.9624807 0.9673218 0.9558398 0.9713387
[1228,] 0.9592686 0.9624829 0.9673190 0.9558508 0.9713326
[1229,] 0.9592749 0.9624850 0.9673162 0.9558618 0.9713265
[1230,] 0.9592811 0.9624872 0.9673133 0.9558728 0.9713204
[1231,] 0.9592873 0.9624894 0.9673105 0.9558837 0.9713143
[1232,] 0.9592935 0.9624916 0.9673077 0.9558946 0.9713082
[1233,] 0.9592997 0.9624937 0.9673049 0.9559055 0.9713021
[1234,] 0.9593058 0.9624959 0.9673021 0.9559163 0.9712961
[1235,] 0.9593120 0.9624980 0.9672993 0.9559272 0.9712900
[1236,] 0.9593181 0.9625001 0.9672965 0.9559380 0.9712839
[1237,] 0.9593243 0.9625023 0.9672937 0.9559488 0.9712778
[1238,] 0.9593304 0.9625044 0.9672908 0.9559595 0.9712718
[1239,] 0.9593365 0.9625065 0.9672880 0.9559703 0.9712657
[1240,] 0.9593426 0.9625086 0.9672852 0.9559810 0.9712596
[1241,] 0.9593486 0.9625108 0.9672824 0.9559917 0.9712536
[1242,] 0.9593547 0.9625129 0.9672796 0.9560024 0.9712475
[1243,] 0.9593607 0.9625150 0.9672768 0.9560130 0.9712415
[1244,] 0.9593668 0.9625170 0.9672740 0.9560237 0.9712354
[1245,] 0.9593728 0.9625191 0.9672712 0.9560343 0.9712294
[1246,] 0.9593788 0.9625212 0.9672684 0.9560449 0.9712233
[1247,] 0.9593848 0.9625233 0.9672656 0.9560555 0.9712173
[1248,] 0.9593908 0.9625254 0.9672627 0.9560660 0.9712112
[1249,] 0.9593967 0.9625274 0.9672599 0.9560765 0.9712052
[1250,] 0.9594027 0.9625295 0.9672571 0.9560870 0.9711992
[1251,] 0.9594086 0.9625315 0.9672543 0.9560975 0.9711931
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[1474,] 0.9605060 0.9628995 0.9666622 0.9580326 0.9699327
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[1477,] 0.9605184 0.9629036 0.9666549 0.9580544 0.9699170
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[1499,] 0.9606079 0.9629332 0.9666016 0.9582112 0.9698030
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[1750,] 0.9614725 0.9632207 0.9660625 0.9597102 0.9686323
[1751,] 0.9614754 0.9632216 0.9660606 0.9597153 0.9686281
[1752,] 0.9614784 0.9632226 0.9660587 0.9597204 0.9686239
[1753,] 0.9614813 0.9632236 0.9660568 0.9597254 0.9686197
[1754,] 0.9614843 0.9632246 0.9660549 0.9597304 0.9686155
[1755,] 0.9614872 0.9632256 0.9660530 0.9597355 0.9686113
[1756,] 0.9614901 0.9632266 0.9660511 0.9597405 0.9686071
[1757,] 0.9614931 0.9632276 0.9660492 0.9597455 0.9686030
[1758,] 0.9614960 0.9632285 0.9660473 0.9597506 0.9685988
[1759,] 0.9614989 0.9632295 0.9660454 0.9597556 0.9685946
[1760,] 0.9615018 0.9632305 0.9660435 0.9597606 0.9685904
[1761,] 0.9615048 0.9632315 0.9660416 0.9597656 0.9685863
[1762,] 0.9615077 0.9632324 0.9660398 0.9597706 0.9685821
[1763,] 0.9615106 0.9632334 0.9660379 0.9597755 0.9685779
[1764,] 0.9615135 0.9632344 0.9660360 0.9597805 0.9685738
[1765,] 0.9615164 0.9632354 0.9660341 0.9597855 0.9685696
[1766,] 0.9615193 0.9632363 0.9660322 0.9597905 0.9685655
[1767,] 0.9615222 0.9632373 0.9660303 0.9597954 0.9685613
[1768,] 0.9615251 0.9632383 0.9660285 0.9598004 0.9685572
[1769,] 0.9615280 0.9632392 0.9660266 0.9598053 0.9685530
[1770,] 0.9615308 0.9632402 0.9660247 0.9598103 0.9685489
[1771,] 0.9615337 0.9632412 0.9660229 0.9598152 0.9685448
[1772,] 0.9615366 0.9632421 0.9660210 0.9598201 0.9685406
[1773,] 0.9615395 0.9632431 0.9660191 0.9598251 0.9685365
[1774,] 0.9615423 0.9632441 0.9660173 0.9598300 0.9685324
[1775,] 0.9615452 0.9632450 0.9660154 0.9598349 0.9685283
[1776,] 0.9615481 0.9632460 0.9660135 0.9598398 0.9685241
[1777,] 0.9615509 0.9632470 0.9660117 0.9598447 0.9685200
[1778,] 0.9615538 0.9632479 0.9660098 0.9598496 0.9685159
[1779,] 0.9615566 0.9632489 0.9660080 0.9598545 0.9685118
[1780,] 0.9615595 0.9632498 0.9660061 0.9598594 0.9685077
[1781,] 0.9615623 0.9632508 0.9660042 0.9598643 0.9685036
[1782,] 0.9615652 0.9632517 0.9660024 0.9598691 0.9684995
[1783,] 0.9615680 0.9632527 0.9660005 0.9598740 0.9684954
[1784,] 0.9615709 0.9632537 0.9659987 0.9598788 0.9684913
[1785,] 0.9615737 0.9632546 0.9659968 0.9598837 0.9684872
[1786,] 0.9615765 0.9632556 0.9659950 0.9598885 0.9684831
[1787,] 0.9615794 0.9632565 0.9659932 0.9598934 0.9684791
[1788,] 0.9615822 0.9632575 0.9659913 0.9598982 0.9684750
[1789,] 0.9615850 0.9632584 0.9659895 0.9599030 0.9684709
[1790,] 0.9615878 0.9632594 0.9659876 0.9599079 0.9684668
[1791,] 0.9615906 0.9632603 0.9659858 0.9599127 0.9684628
[1792,] 0.9615935 0.9632612 0.9659840 0.9599175 0.9684587
[1793,] 0.9615963 0.9632622 0.9659821 0.9599223 0.9684547
[1794,] 0.9615991 0.9632631 0.9659803 0.9599271 0.9684506
[1795,] 0.9616019 0.9632641 0.9659785 0.9599319 0.9684465
[1796,] 0.9616047 0.9632650 0.9659767 0.9599367 0.9684425
[1797,] 0.9616075 0.9632660 0.9659748 0.9599415 0.9684385
[1798,] 0.9616103 0.9632669 0.9659730 0.9599462 0.9684344
[1799,] 0.9616130 0.9632678 0.9659712 0.9599510 0.9684304
[1800,] 0.9616158 0.9632688 0.9659694 0.9599558 0.9684263
[1801,] 0.9616186 0.9632697 0.9659676 0.9599605 0.9684223
[1802,] 0.9616214 0.9632706 0.9659657 0.9599653 0.9684183
[1803,] 0.9616242 0.9632716 0.9659639 0.9599700 0.9684142
[1804,] 0.9616269 0.9632725 0.9659621 0.9599748 0.9684102
[1805,] 0.9616297 0.9632734 0.9659603 0.9599795 0.9684062
[1806,] 0.9616325 0.9632744 0.9659585 0.9599842 0.9684022
[1807,] 0.9616352 0.9632753 0.9659567 0.9599889 0.9683982
[1808,] 0.9616380 0.9632762 0.9659549 0.9599937 0.9683942
[1809,] 0.9616408 0.9632771 0.9659531 0.9599984 0.9683902
[1810,] 0.9616435 0.9632781 0.9659513 0.9600031 0.9683862
[1811,] 0.9616463 0.9632790 0.9659495 0.9600078 0.9683822
[1812,] 0.9616490 0.9632799 0.9659477 0.9600125 0.9683782
[1813,] 0.9616517 0.9632808 0.9659459 0.9600172 0.9683742
[1814,] 0.9616545 0.9632818 0.9659441 0.9600218 0.9683702
[1815,] 0.9616572 0.9632827 0.9659423 0.9600265 0.9683662
[1816,] 0.9616600 0.9632836 0.9659405 0.9600312 0.9683622
[1817,] 0.9616627 0.9632845 0.9659387 0.9600358 0.9683582
[1818,] 0.9616654 0.9632854 0.9659369 0.9600405 0.9683543
[1819,] 0.9616681 0.9632864 0.9659351 0.9600452 0.9683503
[1820,] 0.9616709 0.9632873 0.9659333 0.9600498 0.9683463
[1821,] 0.9616736 0.9632882 0.9659316 0.9600544 0.9683424
[1822,] 0.9616763 0.9632891 0.9659298 0.9600591 0.9683384
[1823,] 0.9616790 0.9632900 0.9659280 0.9600637 0.9683344
[1824,] 0.9616817 0.9632909 0.9659262 0.9600683 0.9683305
[1825,] 0.9616844 0.9632918 0.9659244 0.9600730 0.9683265
[1826,] 0.9616871 0.9632928 0.9659227 0.9600776 0.9683226
[1827,] 0.9616898 0.9632937 0.9659209 0.9600822 0.9683186
[1828,] 0.9616925 0.9632946 0.9659191 0.9600868 0.9683147
[1829,] 0.9616952 0.9632955 0.9659173 0.9600914 0.9683108
[1830,] 0.9616979 0.9632964 0.9659156 0.9600960 0.9683068
[1831,] 0.9617006 0.9632973 0.9659138 0.9601006 0.9683029
[1832,] 0.9617033 0.9632982 0.9659120 0.9601051 0.9682990
[1833,] 0.9617060 0.9632991 0.9659103 0.9601097 0.9682951
[1834,] 0.9617086 0.9633000 0.9659085 0.9601143 0.9682911
[1835,] 0.9617113 0.9633009 0.9659068 0.9601188 0.9682872
[1836,] 0.9617140 0.9633018 0.9659050 0.9601234 0.9682833
[1837,] 0.9617167 0.9633027 0.9659032 0.9601279 0.9682794
[1838,] 0.9617193 0.9633036 0.9659015 0.9601325 0.9682755
[1839,] 0.9617220 0.9633045 0.9658997 0.9601370 0.9682716
[1840,] 0.9617246 0.9633054 0.9658980 0.9601416 0.9682677
[1841,] 0.9617273 0.9633063 0.9658962 0.9601461 0.9682638
[1842,] 0.9617300 0.9633072 0.9658945 0.9601506 0.9682599
[1843,] 0.9617326 0.9633081 0.9658927 0.9601551 0.9682560
[1844,] 0.9617353 0.9633090 0.9658910 0.9601597 0.9682521
[1845,] 0.9617379 0.9633099 0.9658893 0.9601642 0.9682482
[1846,] 0.9617405 0.9633108 0.9658875 0.9601687 0.9682443
[1847,] 0.9617432 0.9633116 0.9658858 0.9601732 0.9682405
[1848,] 0.9617458 0.9633125 0.9658840 0.9601776 0.9682366
[1849,] 0.9617484 0.9633134 0.9658823 0.9601821 0.9682327
[1850,] 0.9617511 0.9633143 0.9658806 0.9601866 0.9682288
[1851,] 0.9617537 0.9633152 0.9658788 0.9601911 0.9682250
[1852,] 0.9617563 0.9633161 0.9658771 0.9601956 0.9682211
[1853,] 0.9617589 0.9633170 0.9658754 0.9602000 0.9682173
[1854,] 0.9617616 0.9633178 0.9658736 0.9602045 0.9682134
[1855,] 0.9617642 0.9633187 0.9658719 0.9602089 0.9682095
[1856,] 0.9617668 0.9633196 0.9658702 0.9602134 0.9682057
[1857,] 0.9617694 0.9633205 0.9658685 0.9602178 0.9682019
[1858,] 0.9617720 0.9633214 0.9658667 0.9602223 0.9681980
[1859,] 0.9617746 0.9633222 0.9658650 0.9602267 0.9681942
[1860,] 0.9617772 0.9633231 0.9658633 0.9602311 0.9681903
[1861,] 0.9617798 0.9633240 0.9658616 0.9602355 0.9681865
[1862,] 0.9617824 0.9633249 0.9658599 0.9602400 0.9681827
[1863,] 0.9617850 0.9633258 0.9658582 0.9602444 0.9681789
[1864,] 0.9617876 0.9633266 0.9658564 0.9602488 0.9681750
[1865,] 0.9617901 0.9633275 0.9658547 0.9602532 0.9681712
[1866,] 0.9617927 0.9633284 0.9658530 0.9602576 0.9681674
[1867,] 0.9617953 0.9633292 0.9658513 0.9602619 0.9681636
[1868,] 0.9617979 0.9633301 0.9658496 0.9602663 0.9681598
[1869,] 0.9618004 0.9633310 0.9658479 0.9602707 0.9681560
[1870,] 0.9618030 0.9633318 0.9658462 0.9602751 0.9681522
[1871,] 0.9618056 0.9633327 0.9658445 0.9602794 0.9681484
[1872,] 0.9618081 0.9633336 0.9658428 0.9602838 0.9681446
[1873,] 0.9618107 0.9633344 0.9658411 0.9602882 0.9681408
[1874,] 0.9618133 0.9633353 0.9658394 0.9602925 0.9681370
[1875,] 0.9618158 0.9633362 0.9658377 0.9602969 0.9681332
[1876,] 0.9618184 0.9633370 0.9658360 0.9603012 0.9681294
[1877,] 0.9618209 0.9633379 0.9658343 0.9603055 0.9681256
[1878,] 0.9618235 0.9633388 0.9658327 0.9603099 0.9681219
[1879,] 0.9618260 0.9633396 0.9658310 0.9603142 0.9681181
[1880,] 0.9618285 0.9633405 0.9658293 0.9603185 0.9681143
[1881,] 0.9618311 0.9633413 0.9658276 0.9603228 0.9681105
[1882,] 0.9618336 0.9633422 0.9658259 0.9603271 0.9681068
[1883,] 0.9618361 0.9633430 0.9658242 0.9603314 0.9681030
[1884,] 0.9618387 0.9633439 0.9658226 0.9603357 0.9680993
[1885,] 0.9618412 0.9633448 0.9658209 0.9603400 0.9680955
[1886,] 0.9618437 0.9633456 0.9658192 0.9603443 0.9680918
[1887,] 0.9618462 0.9633465 0.9658175 0.9603486 0.9680880
[1888,] 0.9618488 0.9633473 0.9658159 0.9603529 0.9680843
[1889,] 0.9618513 0.9633482 0.9658142 0.9603571 0.9680805
[1890,] 0.9618538 0.9633490 0.9658125 0.9603614 0.9680768
[1891,] 0.9618563 0.9633499 0.9658109 0.9603657 0.9680731
[1892,] 0.9618588 0.9633507 0.9658092 0.9603699 0.9680693
[1893,] 0.9618613 0.9633515 0.9658075 0.9603742 0.9680656
[1894,] 0.9618638 0.9633524 0.9658059 0.9603784 0.9680619
[1895,] 0.9618663 0.9633532 0.9658042 0.9603827 0.9680581
[1896,] 0.9618688 0.9633541 0.9658025 0.9603869 0.9680544
[1897,] 0.9618713 0.9633549 0.9658009 0.9603911 0.9680507
[1898,] 0.9618738 0.9633558 0.9657992 0.9603954 0.9680470
[1899,] 0.9618763 0.9633566 0.9657976 0.9603996 0.9680433
[1900,] 0.9618787 0.9633574 0.9657959 0.9604038 0.9680396
[1901,] 0.9618812 0.9633583 0.9657943 0.9604080 0.9680359
[1902,] 0.9618837 0.9633591 0.9657926 0.9604122 0.9680322
[1903,] 0.9618862 0.9633600 0.9657910 0.9604164 0.9680285
[1904,] 0.9618886 0.9633608 0.9657893 0.9604206 0.9680248
[1905,] 0.9618911 0.9633616 0.9657877 0.9604248 0.9680211
[1906,] 0.9618936 0.9633625 0.9657860 0.9604290 0.9680174
[1907,] 0.9618960 0.9633633 0.9657844 0.9604332 0.9680137
[1908,] 0.9618985 0.9633641 0.9657827 0.9604373 0.9680100
[1909,] 0.9619009 0.9633650 0.9657811 0.9604415 0.9680064
[1910,] 0.9619034 0.9633658 0.9657795 0.9604457 0.9680027
[1911,] 0.9619059 0.9633666 0.9657778 0.9604498 0.9679990
[1912,] 0.9619083 0.9633675 0.9657762 0.9604540 0.9679954
[1913,] 0.9619107 0.9633683 0.9657746 0.9604581 0.9679917
[1914,] 0.9619132 0.9633691 0.9657729 0.9604623 0.9679880
[1915,] 0.9619156 0.9633699 0.9657713 0.9604664 0.9679844
[1916,] 0.9619181 0.9633708 0.9657697 0.9604706 0.9679807
[1917,] 0.9619205 0.9633716 0.9657680 0.9604747 0.9679771
[1918,] 0.9619229 0.9633724 0.9657664 0.9604788 0.9679734
[1919,] 0.9619254 0.9633732 0.9657648 0.9604829 0.9679698
[1920,] 0.9619278 0.9633741 0.9657632 0.9604871 0.9679661
[1921,] 0.9619302 0.9633749 0.9657616 0.9604912 0.9679625
[1922,] 0.9619326 0.9633757 0.9657599 0.9604953 0.9679589
[1923,] 0.9619350 0.9633765 0.9657583 0.9604994 0.9679552
[1924,] 0.9619375 0.9633773 0.9657567 0.9605035 0.9679516
[1925,] 0.9619399 0.9633782 0.9657551 0.9605076 0.9679480
[1926,] 0.9619423 0.9633790 0.9657535 0.9605116 0.9679443
[1927,] 0.9619447 0.9633798 0.9657519 0.9605157 0.9679407
[1928,] 0.9619471 0.9633806 0.9657503 0.9605198 0.9679371
[1929,] 0.9619495 0.9633814 0.9657487 0.9605239 0.9679335
[1930,] 0.9619519 0.9633822 0.9657470 0.9605279 0.9679299
[1931,] 0.9619543 0.9633830 0.9657454 0.9605320 0.9679263
[1932,] 0.9619567 0.9633839 0.9657438 0.9605361 0.9679227
[1933,] 0.9619591 0.9633847 0.9657422 0.9605401 0.9679191
[1934,] 0.9619615 0.9633855 0.9657406 0.9605442 0.9679155
[1935,] 0.9619638 0.9633863 0.9657390 0.9605482 0.9679119
[1936,] 0.9619662 0.9633871 0.9657374 0.9605522 0.9679083
[1937,] 0.9619686 0.9633879 0.9657358 0.9605563 0.9679047
[1938,] 0.9619710 0.9633887 0.9657343 0.9605603 0.9679011
[1939,] 0.9619734 0.9633895 0.9657327 0.9605643 0.9678975
[1940,] 0.9619757 0.9633903 0.9657311 0.9605683 0.9678939
[1941,] 0.9619781 0.9633911 0.9657295 0.9605723 0.9678904
[1942,] 0.9619805 0.9633919 0.9657279 0.9605764 0.9678868
[1943,] 0.9619828 0.9633927 0.9657263 0.9605804 0.9678832
[1944,] 0.9619852 0.9633935 0.9657247 0.9605844 0.9678796
[1945,] 0.9619875 0.9633943 0.9657231 0.9605884 0.9678761
[1946,] 0.9619899 0.9633951 0.9657216 0.9605923 0.9678725
[1947,] 0.9619922 0.9633959 0.9657200 0.9605963 0.9678690
[1948,] 0.9619946 0.9633967 0.9657184 0.9606003 0.9678654
[1949,] 0.9619969 0.9633975 0.9657168 0.9606043 0.9678619
[1950,] 0.9619993 0.9633983 0.9657152 0.9606082 0.9678583
[1951,] 0.9620016 0.9633991 0.9657137 0.9606122 0.9678548
[1952,] 0.9620040 0.9633999 0.9657121 0.9606162 0.9678512
[1953,] 0.9620063 0.9634007 0.9657105 0.9606201 0.9678477
[1954,] 0.9620086 0.9634015 0.9657090 0.9606241 0.9678441
[1955,] 0.9620110 0.9634023 0.9657074 0.9606280 0.9678406
[1956,] 0.9620133 0.9634031 0.9657058 0.9606320 0.9678371
[1957,] 0.9620156 0.9634039 0.9657043 0.9606359 0.9678335
[1958,] 0.9620179 0.9634046 0.9657027 0.9606398 0.9678300
[1959,] 0.9620203 0.9634054 0.9657011 0.9606438 0.9678265
[1960,] 0.9620226 0.9634062 0.9656996 0.9606477 0.9678230
[1961,] 0.9620249 0.9634070 0.9656980 0.9606516 0.9678195
[1962,] 0.9620272 0.9634078 0.9656965 0.9606555 0.9678160
[1963,] 0.9620295 0.9634086 0.9656949 0.9606594 0.9678124
[1964,] 0.9620318 0.9634094 0.9656934 0.9606633 0.9678089
[1965,] 0.9620341 0.9634101 0.9656918 0.9606672 0.9678054
[1966,] 0.9620364 0.9634109 0.9656903 0.9606711 0.9678019
[1967,] 0.9620387 0.9634117 0.9656887 0.9606750 0.9677984
[1968,] 0.9620410 0.9634125 0.9656872 0.9606789 0.9677949
[1969,] 0.9620433 0.9634133 0.9656856 0.9606828 0.9677915
[1970,] 0.9620456 0.9634140 0.9656841 0.9606866 0.9677880
[1971,] 0.9620479 0.9634148 0.9656825 0.9606905 0.9677845
[1972,] 0.9620502 0.9634156 0.9656810 0.9606944 0.9677810
[1973,] 0.9620525 0.9634164 0.9656794 0.9606982 0.9677775
[1974,] 0.9620548 0.9634172 0.9656779 0.9607021 0.9677740
[1975,] 0.9620570 0.9634179 0.9656764 0.9607060 0.9677706
[1976,] 0.9620593 0.9634187 0.9656748 0.9607098 0.9677671
[1977,] 0.9620616 0.9634195 0.9656733 0.9607136 0.9677636
[1978,] 0.9620639 0.9634202 0.9656718 0.9607175 0.9677602
[1979,] 0.9620661 0.9634210 0.9656702 0.9607213 0.9677567
[1980,] 0.9620684 0.9634218 0.9656687 0.9607251 0.9677533
[1981,] 0.9620707 0.9634226 0.9656672 0.9607290 0.9677498
[1982,] 0.9620729 0.9634233 0.9656656 0.9607328 0.9677464
[1983,] 0.9620752 0.9634241 0.9656641 0.9607366 0.9677429
[1984,] 0.9620774 0.9634249 0.9656626 0.9607404 0.9677395
[1985,] 0.9620797 0.9634256 0.9656611 0.9607442 0.9677360
[1986,] 0.9620819 0.9634264 0.9656595 0.9607480 0.9677326
[1987,] 0.9620842 0.9634272 0.9656580 0.9607518 0.9677291
[1988,] 0.9620864 0.9634279 0.9656565 0.9607556 0.9677257
[1989,] 0.9620887 0.9634287 0.9656550 0.9607594 0.9677223
[1990,] 0.9620909 0.9634294 0.9656535 0.9607632 0.9677188
[1991,] 0.9620931 0.9634302 0.9656520 0.9607670 0.9677154
[1992,] 0.9620954 0.9634310 0.9656504 0.9607707 0.9677120
[1993,] 0.9620976 0.9634317 0.9656489 0.9607745 0.9677086
[1994,] 0.9620998 0.9634325 0.9656474 0.9607783 0.9677052
[1995,] 0.9621021 0.9634332 0.9656459 0.9607820 0.9677018
[1996,] 0.9621043 0.9634340 0.9656444 0.9607858 0.9676983
[1997,] 0.9621065 0.9634348 0.9656429 0.9607896 0.9676949
[1998,] 0.9621087 0.9634355 0.9656414 0.9607933 0.9676915
[1999,] 0.9621110 0.9634363 0.9656399 0.9607971 0.9676881
[2000,] 0.9621132 0.9634370 0.9656384 0.9608008 0.9676847
[2001,] 0.9621154 0.9634378 0.9656369 0.9608045 0.9676813

$y0
     [,1] [,2]
[1,]  1.0  1.0
[2,]  2.0  2.0
[3,]  3.0  1.0
[4,]  0.5  3.0
[5,]  4.0  0.5

DLA BIG:

library(deSolve)

# Funkcja opisująca wpływ glukozy na wydzielanie insuliny
funkcja_aktywacji <- function(st_glukozy) {
  st_glukozy^2  # Nieliniowa zależność od stężenia glukozy
}

# Funkcja opisująca tempo proliferacji komórek beta
tempo_wzrostu <- function(st_glukozy) {
  0.01 * (st_glukozy - 5)  # Wzrost gdy glukoza > 5, spadek gdy < 5
}

# Model dynamiki glukoza-insulina-komórki beta
model_BIG <- function(czaas, stan, parametry) {
  with(as.list(c(stan, parametry)), {
    # Równania różniczkowe:
    dglukoza <- doplyw - wrażliwość * insulina * glukoza
    dinsulina <- wydzielanie * komórki_beta * funkcja_aktywacji(glukoza) - degradacja * insulina
    dkomórki_beta <- komórki_beta * tempo_wzrostu(glukoza)
    
    list(c(dglukoza, dinsulina, dkomórki_beta))
  })
}

# Parametry modelu
parametry <- c(
  wrażliwość = 1,   # Wrażliwość na insulinę
  wydzielanie = 1,  # Tempo wydzielania insuliny
  degradacja = 1,   # Degradacja insuliny
  doplyw = 1        # Stały dopływ glukozy
)

# Warunki początkowe
wartości_początkowe <- c(
  glukoza = 4,      # Początkowe stężenie glukozy (poniżej progu 5)
  insulina = 3,     # Początkowe stężenie insuliny
  komórki_beta = 2  # Początkowa liczba komórek beta
)

# Symulacja w czasie
czas_symulacji <- seq(0, 200, by = 0.01)
wyniki <- as.data.frame(ode(
  y = wartości_początkowe,
  times = czas_symulacji,
  func = model_BIG,
  parms = parametry
))

# Wizualizacja wyników
plot(wyniki$time, wyniki$glukoza, type = "l", col = "blue", lwd = 2,
     ylab = "Stężenie / liczebność", xlab = "Czas")
lines(wyniki$time, wyniki$insulina, col = "green", lwd = 2)
lines(wyniki$time, wyniki$komórki_beta, col = "red", lwd = 2)
legend("topright",
       legend = c("Glukoza (G)", "Insulina (I)", "Komórki beta (B)"),
       col = c("blue", "green", "red"), lty = 1, lwd = 2, cex = 0.9)

library(deSolve)

# Model z dynamiczną zmianą wrażliwości na insulinę
model_przełączany <- function(czaas, stan, parametry) {
  with(as.list(c(stan, parametry)), {
    # Po czasie 100 jednostek zmniejszamy wrażliwość (insulinooporność)
    aktualna_wrażliwość <- ifelse(czaas < 100, 1, 0.1)
    
    # Równania różniczkowe:
    dglukoza <- doplyw - aktualna_wrażliwość * insulina * glukoza
    dinsulina <- wydzielanie * komórki_beta * glukoza^2 - degradacja * insulina
    dkomórki_beta <- komórki_beta * 0.01 * (glukoza - 5)
    
    list(c(dglukoza, dinsulina, dkomórki_beta))
  })
}

# Parametry (bez wrażliwości, bo jest dynamiczna)
parametry <- c(
  wydzielanie = 1,
  degradacja = 1,
  doplyw = 1
)

# Symulacja
wartości_początkowe <- c(glukoza = 4, insulina = 1, komórki_beta = 1)
czas_symulacji <- seq(0, 200, by = 0.1)
wyniki <- as.data.frame(ode(
  y = wartości_początkowe,
  times = czas_symulacji,
  func = model_przełączany,
  parms = parametry
))

# Wykres zmian komórek beta
plot(wyniki$time, wyniki$komórki_beta, type = "l", col = "red", lwd = 2,
     xlab = "Czas", ylab = "Komórki β (B)")
abline(v = 100, col = "gray", lty = 2)  # Linia momentu zmiany wrażliwości
legend("topleft", legend = "B(t)", col = "red", lwd = 2)

# Pełny wykres wszystkich zmiennych
plot(wyniki$time, wyniki$komórki_beta, type = "l", col = "red", lwd = 2,
     ylim = range(wyniki[,2:4]), ylab = "Stężenie / liczebność", xlab = "Czas")
lines(wyniki$time, wyniki$glukoza, col = "blue", lwd = 2)
lines(wyniki$time, wyniki$insulina, col = "green", lwd = 2)
abline(v = 100, col = "gray", lty = 2)
legend("topright",
       legend = c("Glukoza (G)", "Insulina (I)", "Komórki beta (B)", "Zmiana parametrów"),
       col = c("blue", "green", "red", "gray"), lty = c(1, 1, 1, 2), lwd = 2, cex = 0.9)

library(deSolve)

# Model z okresowymi zmianami dopływu glukozy
model_z_przebiciami <- function(czaas, stan, parametry) {
  # Dynamiczna zmiana parametrów:
  aktualna_wrażliwość <- ifelse(czaas >= 100, 0.1, parametry[1])  # Insulinooporność po czasie 100
  
  # Okresowe zwiększenie dopływu glukozy w określonych momentach
  if (abs(czaas - 90) < 0.5 || abs(czaas - 100) < 0.5 || abs(czaas - 300) < 0.5) {
    aktualny_doplyw <- 2  # Chwilowe zwiększenie dopływu
  } else {
    aktualny_doplyw <- parametry[4]
  }

  G <- stan[1]
  I <- stan[2]
  B <- stan[3]

  # Równania różniczkowe:
  dG <- aktualny_doplyw - aktualna_wrażliwość * I * G
  dI <- parametry[2] * B * G^2 - parametry[3] * I
  dB <- B * 0.01 * (G - 5)

  list(c(dG, dI, dB))
}

# Parametry początkowe
parametry <- c(
  wrażliwość = 1,
  wydzielanie = 1,
  degradacja = 1,
  doplyw = 1
)

# Symulacja
wartości_początkowe <- c(G = 4, I = 1, B = 1)
czas_symulacji <- seq(0, 400, 0.1)
wyniki <- as.data.frame(lsoda(
  y = wartości_początkowe,
  times = czas_symulacji,
  func = model_z_przebiciami,
  parms = parametry
))

# Wizualizacja wyników
plot(wyniki$time, wyniki$G, type = "l", col = "blue", lwd = 2,
     ylim = c(0, max(wyniki$G, wyniki$I, wyniki$B)),
     ylab = "Stężenie", xlab = "Czas")
lines(wyniki$time, wyniki$I, col = "red", lwd = 2)
lines(wyniki$time, wyniki$B, col = "green", lwd = 2)
legend("topright",
       legend = c("Glukoza (G)", "Insulina (I)", "Komórki beta (B)"),
       col = c("blue", "red", "green"), lty = 1, lwd = 2, bty = "n", cex = 0.8)

Analiza wynikow:
czas t = 90 Po spożyciu posiłku następuje umiarkowany wzrost poziomu glukozy we krwi. Jednak jej stężenie szybko wraca do wartości wyjściowej. Dlaczego? Ponieważ parametr s wynosi 1 – oznacza to, że insulina działa skutecznie, a organizm sprawnie usuwa nadmiar glukozy z krwiobiegu. System funkcjonuje prawidłowo i szybko przywraca równowagę metaboliczną.

czas t = 100 Poziom glukozy wzrasta znacznie bardziej niż poprzednio. Czas potrzebny na jego unormowanie również się wydłuża. Dzieje się tak, ponieważ właśnie w trakcie odpowiedzi hormonalnej dochodzi do nagłego obniżenia wrażliwości na insulinę (s spada). Organizm przestaje efektywnie reagować na insulinę – układ regulacyjny jest chwilowo zaburzony, przez co kontrola poziomu glukozy staje się mniej efektywna.

czas t = 300 Po tym posiłku obserwujemy najwyższy wzrost poziomu glukozy, a jej stężenie długo utrzymuje się na podwyższonym poziomie. Dlaczego? Ponieważ s jest już stale niskie (np. 0.1), co oznacza, że wrażliwość na insulinę pozostaje osłabiona. Organizm nie potrafi skutecznie zareagować – glukoza nie jest efektywnie usuwana, a powrót do równowagi trwa znacznie dłużej.

Zadanie z odwzorowania modelu Ozbudak

# Stałe reakcji
synteza_mRNA <- 0.1
degradacja_mRNA <- 0.1
synteza_bialka <- 1
degradacja_bialka <- 0.002

# Parametry symulacji
czas_max <- 8 * 60  # 8 godzin w minutach
aktualny_czas <- 0

# Warunki początkowe
liczba_mRNA <- c(0)
liczba_bialka <- c(0)
wektor_czasu <- c(0)
krok <- 2

# Ustalenie ziarna losowości dla powtarzalności wyników
set.seed(1234)

# Główna pętla symulacji
while (aktualny_czas <= czas_max) {
  # Aktualne stany
  obecne_mRNA <- liczba_mRNA[krok - 1]
  obecne_bialko <- liczba_bialka[krok - 1]
  
  # Obliczenie szybkości reakcji
  szybkosci_reakcji <- c(
    synteza_mRNA,               # Produkcja mRNA
    degradacja_mRNA * obecne_mRNA,  # Degradacja mRNA
    synteza_bialka * obecne_mRNA,   # Produkcja białka
    degradacja_bialka * obecne_bialko  # Degradacja białka
  )
  
  suma_szybkosci <- sum(szybkosci_reakcji)
  if (suma_szybkosci == 0) break
  
  # Wyznaczenie czasu do następnej reakcji
  losowa_1 <- runif(1)
  delta_czasu <- -log(losowa_1) / suma_szybkosci
  
  # Wybór reakcji do wykonania
  losowa_2 <- runif(1)
  kumulowane_prawdopodobienstwa <- cumsum(szybkosci_reakcji) / suma_szybkosci
  wybrana_reakcja <- which(kumulowane_prawdopodobienstwa >= losowa_2)[1]
  
  # Aktualizacja stanów
  nowe_mRNA <- obecne_mRNA
  nowe_bialko <- obecne_bialko
  
  if (wybrana_reakcja == 1) nowe_mRNA <- nowe_mRNA + 1
  if (wybrana_reakcja == 2) nowe_mRNA <- max(0, nowe_mRNA - 1)
  if (wybrana_reakcja == 3) nowe_bialko <- nowe_bialko + 1
  if (wybrana_reakcja == 4) nowe_bialko <- max(0, nowe_bialko - 1)
  
  # Zapis wyników
  liczba_mRNA[krok] <- nowe_mRNA
  liczba_bialka[krok] <- nowe_bialko
  aktualny_czas <- aktualny_czas + delta_czasu
  wektor_czasu[krok] <- aktualny_czas
  krok <- krok + 1
}

# Wizualizacja wyników
plot(wektor_czasu, liczba_bialka, 
     type = "l", col = "blue", lwd = 2,
     xlab = "Czas (minuty)", 
     ylab = "Liczba cząsteczek", 
     main = "Odwzorowanie Ozbudak")

lines(wektor_czasu, liczba_mRNA, col = "red", lwd = 2)

legend("topright", 
       legend = c("Białko", "mRNA"),
       col = c("blue", "red"), 
       lty = 1, lwd = 2)